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Finding the Fourth Proportional to 1,359.41, 1,874.90 and 861.57

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Solution

The fourth proportional to 1,359.41, 1,874.90 and 861.57 is: 1,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.41 : 1,874.90 = 861.57 : x
  2. Step 2: Convert to fraction form
    1,359.41/1,874.90 = 861.57/x
  3. Step 3: Cross multiply
    1,359.41x = 1,874.90 × 861.57
  4. Step 4: Simplify right side
    1,359.41x = 1,615,359.75
  5. Step 5: Solve for x
    x = 1,615,359.75/1,359.41
  6. Step 6: Final answer
    x = 1,188.28

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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.