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Finding the Fourth Proportional to 1,665.18, 2,498.17 and 843.43

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Solution

The fourth proportional to 1,665.18, 2,498.17 and 843.43 is: 1,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.18 : 2,498.17 = 843.43 : x
  2. Step 2: Convert to fraction form
    1,665.18/2,498.17 = 843.43/x
  3. Step 3: Cross multiply
    1,665.18x = 2,498.17 × 843.43
  4. Step 4: Simplify right side
    1,665.18x = 2,107,031.52
  5. Step 5: Solve for x
    x = 2,107,031.52/1,665.18
  6. Step 6: Final answer
    x = 1,265.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.