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Finding the Fourth Proportional to 2,562.69, 3,841.04 and 1,176.17

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Solution

The fourth proportional to 2,562.69, 3,841.04 and 1,176.17 is: 1,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.69 : 3,841.04 = 1,176.17 : x
  2. Step 2: Convert to fraction form
    2,562.69/3,841.04 = 1,176.17/x
  3. Step 3: Cross multiply
    2,562.69x = 3,841.04 × 1,176.17
  4. Step 4: Simplify right side
    2,562.69x = 4,517,706.41
  5. Step 5: Solve for x
    x = 4,517,706.41/2,562.69
  6. Step 6: Final answer
    x = 1,762.88

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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.