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Finding the Fourth Proportional to 1,450.86, 2,002.17 and 861.49

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Solution

The fourth proportional to 1,450.86, 2,002.17 and 861.49 is: 1,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.86 : 2,002.17 = 861.49 : x
  2. Step 2: Convert to fraction form
    1,450.86/2,002.17 = 861.49/x
  3. Step 3: Cross multiply
    1,450.86x = 2,002.17 × 861.49
  4. Step 4: Simplify right side
    1,450.86x = 1,724,849.43
  5. Step 5: Solve for x
    x = 1,724,849.43/1,450.86
  6. Step 6: Final answer
    x = 1,188.85

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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.