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Finding the Fourth Proportional to 2,627.74, 3,631.50 and 2,154.90

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Solution

The fourth proportional to 2,627.74, 3,631.50 and 2,154.90 is: 2,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.74 : 3,631.50 = 2,154.90 : x
  2. Step 2: Convert to fraction form
    2,627.74/3,631.50 = 2,154.90/x
  3. Step 3: Cross multiply
    2,627.74x = 3,631.50 × 2,154.90
  4. Step 4: Simplify right side
    2,627.74x = 7,825,508.58
  5. Step 5: Solve for x
    x = 7,825,508.58/2,627.74
  6. Step 6: Final answer
    x = 2,978.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.