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Finding the Fourth Proportional to 1,473.18, 2,209.77 and 861.15

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Solution

The fourth proportional to 1,473.18, 2,209.77 and 861.15 is: 1,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.18 : 2,209.77 = 861.15 : x
  2. Step 2: Convert to fraction form
    1,473.18/2,209.77 = 861.15/x
  3. Step 3: Cross multiply
    1,473.18x = 2,209.77 × 861.15
  4. Step 4: Simplify right side
    1,473.18x = 1,902,943.44
  5. Step 5: Solve for x
    x = 1,902,943.44/1,473.18
  6. Step 6: Final answer
    x = 1,291.73

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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.