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Finding the Fourth Proportional to 1,451.20, 2,002.65 and 861.77

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Solution

The fourth proportional to 1,451.20, 2,002.65 and 861.77 is: 1,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.20 : 2,002.65 = 861.77 : x
  2. Step 2: Convert to fraction form
    1,451.20/2,002.65 = 861.77/x
  3. Step 3: Cross multiply
    1,451.20x = 2,002.65 × 861.77
  4. Step 4: Simplify right side
    1,451.20x = 1,725,823.69
  5. Step 5: Solve for x
    x = 1,725,823.69/1,451.20
  6. Step 6: Final answer
    x = 1,189.24

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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.