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Finding the Fourth Proportional to 2,763.54, 4,166.15 and 2,575.62

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Solution

The fourth proportional to 2,763.54, 4,166.15 and 2,575.62 is: 3,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.54 : 4,166.15 = 2,575.62 : x
  2. Step 2: Convert to fraction form
    2,763.54/4,166.15 = 2,575.62/x
  3. Step 3: Cross multiply
    2,763.54x = 4,166.15 × 2,575.62
  4. Step 4: Simplify right side
    2,763.54x = 10,730,406.38
  5. Step 5: Solve for x
    x = 10,730,406.38/2,763.54
  6. Step 6: Final answer
    x = 3,882.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.