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Finding the Fourth Proportional to 1,741.72, 2,402.81 and 1,042.69

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Solution

The fourth proportional to 1,741.72, 2,402.81 and 1,042.69 is: 1,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.72 : 2,402.81 = 1,042.69 : x
  2. Step 2: Convert to fraction form
    1,741.72/2,402.81 = 1,042.69/x
  3. Step 3: Cross multiply
    1,741.72x = 2,402.81 × 1,042.69
  4. Step 4: Simplify right side
    1,741.72x = 2,505,385.96
  5. Step 5: Solve for x
    x = 2,505,385.96/1,741.72
  6. Step 6: Final answer
    x = 1,438.46

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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.