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Finding the Fourth Proportional to 1,349.65, 2,024.48 and 938.37

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Solution

The fourth proportional to 1,349.65, 2,024.48 and 938.37 is: 1,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.65 : 2,024.48 = 938.37 : x
  2. Step 2: Convert to fraction form
    1,349.65/2,024.48 = 938.37/x
  3. Step 3: Cross multiply
    1,349.65x = 2,024.48 × 938.37
  4. Step 4: Simplify right side
    1,349.65x = 1,899,711.30
  5. Step 5: Solve for x
    x = 1,899,711.30/1,349.65
  6. Step 6: Final answer
    x = 1,407.56

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