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Finding the Fourth Proportional to 2,557.20, 3,802.56 and 2,479.20

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Solution

The fourth proportional to 2,557.20, 3,802.56 and 2,479.20 is: 3,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.20 : 3,802.56 = 2,479.20 : x
  2. Step 2: Convert to fraction form
    2,557.20/3,802.56 = 2,479.20/x
  3. Step 3: Cross multiply
    2,557.20x = 3,802.56 × 2,479.20
  4. Step 4: Simplify right side
    2,557.20x = 9,427,306.75
  5. Step 5: Solve for x
    x = 9,427,306.75/2,557.20
  6. Step 6: Final answer
    x = 3,686.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.