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Finding the Fourth Proportional to 2,844.10, 4,266.18 and 896.32

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Solution

The fourth proportional to 2,844.10, 4,266.18 and 896.32 is: 1,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.10 : 4,266.18 = 896.32 : x
  2. Step 2: Convert to fraction form
    2,844.10/4,266.18 = 896.32/x
  3. Step 3: Cross multiply
    2,844.10x = 4,266.18 × 896.32
  4. Step 4: Simplify right side
    2,844.10x = 3,823,862.46
  5. Step 5: Solve for x
    x = 3,823,862.46/2,844.10
  6. Step 6: Final answer
    x = 1,344.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.