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Finding the Fourth Proportional to 2,496.72, 3,743.62 and 1,034.12

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Solution

The fourth proportional to 2,496.72, 3,743.62 and 1,034.12 is: 1,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.72 : 3,743.62 = 1,034.12 : x
  2. Step 2: Convert to fraction form
    2,496.72/3,743.62 = 1,034.12/x
  3. Step 3: Cross multiply
    2,496.72x = 3,743.62 × 1,034.12
  4. Step 4: Simplify right side
    2,496.72x = 3,871,352.31
  5. Step 5: Solve for x
    x = 3,871,352.31/2,496.72
  6. Step 6: Final answer
    x = 1,550.58

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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.