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Finding the Fourth Proportional to 2,387.68, 3,582.46 and 927.25

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Solution

The fourth proportional to 2,387.68, 3,582.46 and 927.25 is: 1,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.68 : 3,582.46 = 927.25 : x
  2. Step 2: Convert to fraction form
    2,387.68/3,582.46 = 927.25/x
  3. Step 3: Cross multiply
    2,387.68x = 3,582.46 × 927.25
  4. Step 4: Simplify right side
    2,387.68x = 3,321,828.24
  5. Step 5: Solve for x
    x = 3,321,828.24/2,387.68
  6. Step 6: Final answer
    x = 1,391.24

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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.