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Finding the Fourth Proportional to 3,191.72, 4,407.34 and 2,453

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Solution

The fourth proportional to 3,191.72, 4,407.34 and 2,453 is: 3,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.72 : 4,407.34 = 2,453 : x
  2. Step 2: Convert to fraction form
    3,191.72/4,407.34 = 2,453/x
  3. Step 3: Cross multiply
    3,191.72x = 4,407.34 × 2,453
  4. Step 4: Simplify right side
    3,191.72x = 10,811,205.02
  5. Step 5: Solve for x
    x = 10,811,205.02/3,191.72
  6. Step 6: Final answer
    x = 3,387.27

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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.