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Finding the Fourth Proportional to 1,841.02, 2,761.77 and 686.62

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Solution

The fourth proportional to 1,841.02, 2,761.77 and 686.62 is: 1,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.02 : 2,761.77 = 686.62 : x
  2. Step 2: Convert to fraction form
    1,841.02/2,761.77 = 686.62/x
  3. Step 3: Cross multiply
    1,841.02x = 2,761.77 × 686.62
  4. Step 4: Simplify right side
    1,841.02x = 1,896,286.52
  5. Step 5: Solve for x
    x = 1,896,286.52/1,841.02
  6. Step 6: Final answer
    x = 1,030.02

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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.