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Finding the Fourth Proportional to 1,498.82, 2,067.85 and 901.49

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Solution

The fourth proportional to 1,498.82, 2,067.85 and 901.49 is: 1,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.82 : 2,067.85 = 901.49 : x
  2. Step 2: Convert to fraction form
    1,498.82/2,067.85 = 901.49/x
  3. Step 3: Cross multiply
    1,498.82x = 2,067.85 × 901.49
  4. Step 4: Simplify right side
    1,498.82x = 1,864,146.10
  5. Step 5: Solve for x
    x = 1,864,146.10/1,498.82
  6. Step 6: Final answer
    x = 1,243.74

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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.