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Finding the Fourth Proportional to 1,343.96, 1,854.67 and 754.69

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Solution

The fourth proportional to 1,343.96, 1,854.67 and 754.69 is: 1,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.96 : 1,854.67 = 754.69 : x
  2. Step 2: Convert to fraction form
    1,343.96/1,854.67 = 754.69/x
  3. Step 3: Cross multiply
    1,343.96x = 1,854.67 × 754.69
  4. Step 4: Simplify right side
    1,343.96x = 1,399,687.86
  5. Step 5: Solve for x
    x = 1,399,687.86/1,343.96
  6. Step 6: Final answer
    x = 1,041.47

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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.