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Finding the Fourth Proportional to 2,742.82, 3,785.17 and 1,500.82

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Solution

The fourth proportional to 2,742.82, 3,785.17 and 1,500.82 is: 2,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.82 : 3,785.17 = 1,500.82 : x
  2. Step 2: Convert to fraction form
    2,742.82/3,785.17 = 1,500.82/x
  3. Step 3: Cross multiply
    2,742.82x = 3,785.17 × 1,500.82
  4. Step 4: Simplify right side
    2,742.82x = 5,680,839.91
  5. Step 5: Solve for x
    x = 5,680,839.91/2,742.82
  6. Step 6: Final answer
    x = 2,071.17

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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.