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Finding the Fourth Proportional to 2,641.46, 3,962.99 and 998.51

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Solution

The fourth proportional to 2,641.46, 3,962.99 and 998.51 is: 1,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.46 : 3,962.99 = 998.51 : x
  2. Step 2: Convert to fraction form
    2,641.46/3,962.99 = 998.51/x
  3. Step 3: Cross multiply
    2,641.46x = 3,962.99 × 998.51
  4. Step 4: Simplify right side
    2,641.46x = 3,957,067.83
  5. Step 5: Solve for x
    x = 3,957,067.83/2,641.46
  6. Step 6: Final answer
    x = 1,498.06

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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.