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Finding the Fourth Proportional to 2,594.28, 3,888.16 and 2,044.28

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Solution

The fourth proportional to 2,594.28, 3,888.16 and 2,044.28 is: 3,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.28 : 3,888.16 = 2,044.28 : x
  2. Step 2: Convert to fraction form
    2,594.28/3,888.16 = 2,044.28/x
  3. Step 3: Cross multiply
    2,594.28x = 3,888.16 × 2,044.28
  4. Step 4: Simplify right side
    2,594.28x = 7,948,487.72
  5. Step 5: Solve for x
    x = 7,948,487.72/2,594.28
  6. Step 6: Final answer
    x = 3,063.85

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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.