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Finding the Fourth Proportional to 2,578.32, 3,866.64 and 1,654.92

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Solution

The fourth proportional to 2,578.32, 3,866.64 and 1,654.92 is: 2,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.32 : 3,866.64 = 1,654.92 : x
  2. Step 2: Convert to fraction form
    2,578.32/3,866.64 = 1,654.92/x
  3. Step 3: Cross multiply
    2,578.32x = 3,866.64 × 1,654.92
  4. Step 4: Simplify right side
    2,578.32x = 6,398,979.87
  5. Step 5: Solve for x
    x = 6,398,979.87/2,578.32
  6. Step 6: Final answer
    x = 2,481.84

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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.