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Finding the Fourth Proportional to 3,042.87, 4,564.98 and 962.99

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Solution

The fourth proportional to 3,042.87, 4,564.98 and 962.99 is: 1,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.87 : 4,564.98 = 962.99 : x
  2. Step 2: Convert to fraction form
    3,042.87/4,564.98 = 962.99/x
  3. Step 3: Cross multiply
    3,042.87x = 4,564.98 × 962.99
  4. Step 4: Simplify right side
    3,042.87x = 4,396,024.38
  5. Step 5: Solve for x
    x = 4,396,024.38/3,042.87
  6. Step 6: Final answer
    x = 1,444.70

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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.