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Finding the Fourth Proportional to 2,332.96, 3,499.68 and 1,512.82

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Solution

The fourth proportional to 2,332.96, 3,499.68 and 1,512.82 is: 2,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.96 : 3,499.68 = 1,512.82 : x
  2. Step 2: Convert to fraction form
    2,332.96/3,499.68 = 1,512.82/x
  3. Step 3: Cross multiply
    2,332.96x = 3,499.68 × 1,512.82
  4. Step 4: Simplify right side
    2,332.96x = 5,294,385.90
  5. Step 5: Solve for x
    x = 5,294,385.90/2,332.96
  6. Step 6: Final answer
    x = 2,269.39

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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.