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Finding the Fourth Proportional to 2,582.58, 3,872.94 and 938.70

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Solution

The fourth proportional to 2,582.58, 3,872.94 and 938.70 is: 1,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.58 : 3,872.94 = 938.70 : x
  2. Step 2: Convert to fraction form
    2,582.58/3,872.94 = 938.70/x
  3. Step 3: Cross multiply
    2,582.58x = 3,872.94 × 938.70
  4. Step 4: Simplify right side
    2,582.58x = 3,635,528.78
  5. Step 5: Solve for x
    x = 3,635,528.78/2,582.58
  6. Step 6: Final answer
    x = 1,407.71

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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.