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Finding the Fourth Proportional to 2,324.99, 3,487.56 and 844.51

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Solution

The fourth proportional to 2,324.99, 3,487.56 and 844.51 is: 1,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.99 : 3,487.56 = 844.51 : x
  2. Step 2: Convert to fraction form
    2,324.99/3,487.56 = 844.51/x
  3. Step 3: Cross multiply
    2,324.99x = 3,487.56 × 844.51
  4. Step 4: Simplify right side
    2,324.99x = 2,945,279.30
  5. Step 5: Solve for x
    x = 2,945,279.30/2,324.99
  6. Step 6: Final answer
    x = 1,266.79

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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.