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Finding the Fourth Proportional to 2,433.89, 3,650.87 and 702.52

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Solution

The fourth proportional to 2,433.89, 3,650.87 and 702.52 is: 1,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.89 : 3,650.87 = 702.52 : x
  2. Step 2: Convert to fraction form
    2,433.89/3,650.87 = 702.52/x
  3. Step 3: Cross multiply
    2,433.89x = 3,650.87 × 702.52
  4. Step 4: Simplify right side
    2,433.89x = 2,564,809.19
  5. Step 5: Solve for x
    x = 2,564,809.19/2,433.89
  6. Step 6: Final answer
    x = 1,053.79

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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.