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Finding the Fourth Proportional to 2,463.75, 3,697.25 and 924.75

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Solution

The fourth proportional to 2,463.75, 3,697.25 and 924.75 is: 1,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.75 : 3,697.25 = 924.75 : x
  2. Step 2: Convert to fraction form
    2,463.75/3,697.25 = 924.75/x
  3. Step 3: Cross multiply
    2,463.75x = 3,697.25 × 924.75
  4. Step 4: Simplify right side
    2,463.75x = 3,419,027.31
  5. Step 5: Solve for x
    x = 3,419,027.31/2,463.75
  6. Step 6: Final answer
    x = 1,387.73

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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.