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Finding the Fourth Proportional to 1,498.11, 2,244.33 and 849.30

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Solution

The fourth proportional to 1,498.11, 2,244.33 and 849.30 is: 1,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.11 : 2,244.33 = 849.30 : x
  2. Step 2: Convert to fraction form
    1,498.11/2,244.33 = 849.30/x
  3. Step 3: Cross multiply
    1,498.11x = 2,244.33 × 849.30
  4. Step 4: Simplify right side
    1,498.11x = 1,906,109.47
  5. Step 5: Solve for x
    x = 1,906,109.47/1,498.11
  6. Step 6: Final answer
    x = 1,272.34

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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.