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Finding the Fourth Proportional to 2,497.30, 3,744.60 and 1,034.80

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Solution

The fourth proportional to 2,497.30, 3,744.60 and 1,034.80 is: 1,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.30 : 3,744.60 = 1,034.80 : x
  2. Step 2: Convert to fraction form
    2,497.30/3,744.60 = 1,034.80/x
  3. Step 3: Cross multiply
    2,497.30x = 3,744.60 × 1,034.80
  4. Step 4: Simplify right side
    2,497.30x = 3,874,912.08
  5. Step 5: Solve for x
    x = 3,874,912.08/2,497.30
  6. Step 6: Final answer
    x = 1,551.64

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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.