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Finding the Fourth Proportional to 1,487.11, 2,229.33 and 836.47

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Solution

The fourth proportional to 1,487.11, 2,229.33 and 836.47 is: 1,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.11 : 2,229.33 = 836.47 : x
  2. Step 2: Convert to fraction form
    1,487.11/2,229.33 = 836.47/x
  3. Step 3: Cross multiply
    1,487.11x = 2,229.33 × 836.47
  4. Step 4: Simplify right side
    1,487.11x = 1,864,767.67
  5. Step 5: Solve for x
    x = 1,864,767.67/1,487.11
  6. Step 6: Final answer
    x = 1,253.95

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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.