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Finding the Fourth Proportional to 1,701.67, 2,349.27 and 1,143.97

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Solution

The fourth proportional to 1,701.67, 2,349.27 and 1,143.97 is: 1,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.67 : 2,349.27 = 1,143.97 : x
  2. Step 2: Convert to fraction form
    1,701.67/2,349.27 = 1,143.97/x
  3. Step 3: Cross multiply
    1,701.67x = 2,349.27 × 1,143.97
  4. Step 4: Simplify right side
    1,701.67x = 2,687,494.40
  5. Step 5: Solve for x
    x = 2,687,494.40/1,701.67
  6. Step 6: Final answer
    x = 1,579.33

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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.