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Finding the Fourth Proportional to 2,500.40, 3,447 and 1,713.20

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Solution

The fourth proportional to 2,500.40, 3,447 and 1,713.20 is: 2,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.40 : 3,447 = 1,713.20 : x
  2. Step 2: Convert to fraction form
    2,500.40/3,447 = 1,713.20/x
  3. Step 3: Cross multiply
    2,500.40x = 3,447 × 1,713.20
  4. Step 4: Simplify right side
    2,500.40x = 5,905,400.40
  5. Step 5: Solve for x
    x = 5,905,400.40/2,500.40
  6. Step 6: Final answer
    x = 2,361.78

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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.