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Finding the Fourth Proportional to 2,781.79, 4,167.45 and 2,162.48

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Solution

The fourth proportional to 2,781.79, 4,167.45 and 2,162.48 is: 3,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.79 : 4,167.45 = 2,162.48 : x
  2. Step 2: Convert to fraction form
    2,781.79/4,167.45 = 2,162.48/x
  3. Step 3: Cross multiply
    2,781.79x = 4,167.45 × 2,162.48
  4. Step 4: Simplify right side
    2,781.79x = 9,012,047.46
  5. Step 5: Solve for x
    x = 9,012,047.46/2,781.79
  6. Step 6: Final answer
    x = 3,239.65

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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.