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Finding the Fourth Proportional to 1,532.56, 2,285.10 and 1,504.92

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Solution

The fourth proportional to 1,532.56, 2,285.10 and 1,504.92 is: 2,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.56 : 2,285.10 = 1,504.92 : x
  2. Step 2: Convert to fraction form
    1,532.56/2,285.10 = 1,504.92/x
  3. Step 3: Cross multiply
    1,532.56x = 2,285.10 × 1,504.92
  4. Step 4: Simplify right side
    1,532.56x = 3,438,892.69
  5. Step 5: Solve for x
    x = 3,438,892.69/1,532.56
  6. Step 6: Final answer
    x = 2,243.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.