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Finding the Fourth Proportional to 2,497.45, 3,447.31 and 1,704.66

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Solution

The fourth proportional to 2,497.45, 3,447.31 and 1,704.66 is: 2,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.45 : 3,447.31 = 1,704.66 : x
  2. Step 2: Convert to fraction form
    2,497.45/3,447.31 = 1,704.66/x
  3. Step 3: Cross multiply
    2,497.45x = 3,447.31 × 1,704.66
  4. Step 4: Simplify right side
    2,497.45x = 5,876,496.86
  5. Step 5: Solve for x
    x = 5,876,496.86/2,497.45
  6. Step 6: Final answer
    x = 2,353.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.