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Finding the Fourth Proportional to 1,451.77, 2,002.73 and 861.89

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Solution

The fourth proportional to 1,451.77, 2,002.73 and 861.89 is: 1,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.77 : 2,002.73 = 861.89 : x
  2. Step 2: Convert to fraction form
    1,451.77/2,002.73 = 861.89/x
  3. Step 3: Cross multiply
    1,451.77x = 2,002.73 × 861.89
  4. Step 4: Simplify right side
    1,451.77x = 1,726,132.96
  5. Step 5: Solve for x
    x = 1,726,132.96/1,451.77
  6. Step 6: Final answer
    x = 1,188.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.