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Finding the Fourth Proportional to 2,781.76, 4,171.80 and 1,549.76

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Solution

The fourth proportional to 2,781.76, 4,171.80 and 1,549.76 is: 2,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.76 : 4,171.80 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    2,781.76/4,171.80 = 1,549.76/x
  3. Step 3: Cross multiply
    2,781.76x = 4,171.80 × 1,549.76
  4. Step 4: Simplify right side
    2,781.76x = 6,465,288.77
  5. Step 5: Solve for x
    x = 6,465,288.77/2,781.76
  6. Step 6: Final answer
    x = 2,324.17

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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.