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Finding the Fourth Proportional to 2,433.75, 3,651.21 and 702.36

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Solution

The fourth proportional to 2,433.75, 3,651.21 and 702.36 is: 1,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.75 : 3,651.21 = 702.36 : x
  2. Step 2: Convert to fraction form
    2,433.75/3,651.21 = 702.36/x
  3. Step 3: Cross multiply
    2,433.75x = 3,651.21 × 702.36
  4. Step 4: Simplify right side
    2,433.75x = 2,564,463.86
  5. Step 5: Solve for x
    x = 2,564,463.86/2,433.75
  6. Step 6: Final answer
    x = 1,053.71

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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.