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Finding the Fourth Proportional to 1,335.97, 1,846.17 and 1,003.83

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Solution

The fourth proportional to 1,335.97, 1,846.17 and 1,003.83 is: 1,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.97 : 1,846.17 = 1,003.83 : x
  2. Step 2: Convert to fraction form
    1,335.97/1,846.17 = 1,003.83/x
  3. Step 3: Cross multiply
    1,335.97x = 1,846.17 × 1,003.83
  4. Step 4: Simplify right side
    1,335.97x = 1,853,240.83
  5. Step 5: Solve for x
    x = 1,853,240.83/1,335.97
  6. Step 6: Final answer
    x = 1,387.19

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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.