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Finding the Fourth Proportional to 1,911.76, 2,867.72 and 614.20

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Solution

The fourth proportional to 1,911.76, 2,867.72 and 614.20 is: 921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.76 : 2,867.72 = 614.20 : x
  2. Step 2: Convert to fraction form
    1,911.76/2,867.72 = 614.20/x
  3. Step 3: Cross multiply
    1,911.76x = 2,867.72 × 614.20
  4. Step 4: Simplify right side
    1,911.76x = 1,761,353.62
  5. Step 5: Solve for x
    x = 1,761,353.62/1,911.76
  6. Step 6: Final answer
    x = 921.33

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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.