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Finding the Fourth Proportional to 2,667.71, 4,001.42 and 818.82

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Solution

The fourth proportional to 2,667.71, 4,001.42 and 818.82 is: 1,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.71 : 4,001.42 = 818.82 : x
  2. Step 2: Convert to fraction form
    2,667.71/4,001.42 = 818.82/x
  3. Step 3: Cross multiply
    2,667.71x = 4,001.42 × 818.82
  4. Step 4: Simplify right side
    2,667.71x = 3,276,442.72
  5. Step 5: Solve for x
    x = 3,276,442.72/2,667.71
  6. Step 6: Final answer
    x = 1,228.19

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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.