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Finding the Fourth Proportional to 1,343.74, 1,854.18 and 754.24

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Solution

The fourth proportional to 1,343.74, 1,854.18 and 754.24 is: 1,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.74 : 1,854.18 = 754.24 : x
  2. Step 2: Convert to fraction form
    1,343.74/1,854.18 = 754.24/x
  3. Step 3: Cross multiply
    1,343.74x = 1,854.18 × 754.24
  4. Step 4: Simplify right side
    1,343.74x = 1,398,496.72
  5. Step 5: Solve for x
    x = 1,398,496.72/1,343.74
  6. Step 6: Final answer
    x = 1,040.75

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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.