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Finding the Fourth Proportional to 2,872.20, 4,308.90 and 925.74

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Solution

The fourth proportional to 2,872.20, 4,308.90 and 925.74 is: 1,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.20 : 4,308.90 = 925.74 : x
  2. Step 2: Convert to fraction form
    2,872.20/4,308.90 = 925.74/x
  3. Step 3: Cross multiply
    2,872.20x = 4,308.90 × 925.74
  4. Step 4: Simplify right side
    2,872.20x = 3,988,921.09
  5. Step 5: Solve for x
    x = 3,988,921.09/2,872.20
  6. Step 6: Final answer
    x = 1,388.80

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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.