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Finding the Fourth Proportional to 2,314, 3,193.36 and 1,266.16

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Solution

The fourth proportional to 2,314, 3,193.36 and 1,266.16 is: 1,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 3,193.36 = 1,266.16 : x
  2. Step 2: Convert to fraction form
    2,314/3,193.36 = 1,266.16/x
  3. Step 3: Cross multiply
    2,314x = 3,193.36 × 1,266.16
  4. Step 4: Simplify right side
    2,314x = 4,043,304.70
  5. Step 5: Solve for x
    x = 4,043,304.70/2,314
  6. Step 6: Final answer
    x = 1,747.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.