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Finding the Fourth Proportional to 2,497.24, 3,746.26 and 937.78

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Solution

The fourth proportional to 2,497.24, 3,746.26 and 937.78 is: 1,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.24 : 3,746.26 = 937.78 : x
  2. Step 2: Convert to fraction form
    2,497.24/3,746.26 = 937.78/x
  3. Step 3: Cross multiply
    2,497.24x = 3,746.26 × 937.78
  4. Step 4: Simplify right side
    2,497.24x = 3,513,167.70
  5. Step 5: Solve for x
    x = 3,513,167.70/2,497.24
  6. Step 6: Final answer
    x = 1,406.82

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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.