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Finding the Fourth Proportional to 1,742.75, 2,405.92 and 1,343.53

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Solution

The fourth proportional to 1,742.75, 2,405.92 and 1,343.53 is: 1,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.75 : 2,405.92 = 1,343.53 : x
  2. Step 2: Convert to fraction form
    1,742.75/2,405.92 = 1,343.53/x
  3. Step 3: Cross multiply
    1,742.75x = 2,405.92 × 1,343.53
  4. Step 4: Simplify right side
    1,742.75x = 3,232,425.70
  5. Step 5: Solve for x
    x = 3,232,425.70/1,742.75
  6. Step 6: Final answer
    x = 1,854.79

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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.