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Finding the Fourth Proportional to 2,497.06, 3,747.47 and 938.60

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Solution

The fourth proportional to 2,497.06, 3,747.47 and 938.60 is: 1,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.06 : 3,747.47 = 938.60 : x
  2. Step 2: Convert to fraction form
    2,497.06/3,747.47 = 938.60/x
  3. Step 3: Cross multiply
    2,497.06x = 3,747.47 × 938.60
  4. Step 4: Simplify right side
    2,497.06x = 3,517,365.96
  5. Step 5: Solve for x
    x = 3,517,365.96/2,497.06
  6. Step 6: Final answer
    x = 1,408.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.