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Finding the Fourth Proportional to 2,532.59, 3,798.85 and 1,299.29

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Solution

The fourth proportional to 2,532.59, 3,798.85 and 1,299.29 is: 1,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.59 : 3,798.85 = 1,299.29 : x
  2. Step 2: Convert to fraction form
    2,532.59/3,798.85 = 1,299.29/x
  3. Step 3: Cross multiply
    2,532.59x = 3,798.85 × 1,299.29
  4. Step 4: Simplify right side
    2,532.59x = 4,935,809.38
  5. Step 5: Solve for x
    x = 4,935,809.38/2,532.59
  6. Step 6: Final answer
    x = 1,948.92

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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.