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Finding the Fourth Proportional to 1,414.83, 2,121.55 and 581.74

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Solution

The fourth proportional to 1,414.83, 2,121.55 and 581.74 is: 872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.83 : 2,121.55 = 581.74 : x
  2. Step 2: Convert to fraction form
    1,414.83/2,121.55 = 581.74/x
  3. Step 3: Cross multiply
    1,414.83x = 2,121.55 × 581.74
  4. Step 4: Simplify right side
    1,414.83x = 1,234,191.69
  5. Step 5: Solve for x
    x = 1,234,191.69/1,414.83
  6. Step 6: Final answer
    x = 872.33

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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.