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Finding the Fourth Proportional to 2,925.17, 4,387.09 and 844.73

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Solution

The fourth proportional to 2,925.17, 4,387.09 and 844.73 is: 1,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.17 : 4,387.09 = 844.73 : x
  2. Step 2: Convert to fraction form
    2,925.17/4,387.09 = 844.73/x
  3. Step 3: Cross multiply
    2,925.17x = 4,387.09 × 844.73
  4. Step 4: Simplify right side
    2,925.17x = 3,705,906.54
  5. Step 5: Solve for x
    x = 3,705,906.54/2,925.17
  6. Step 6: Final answer
    x = 1,266.90

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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.