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Finding the Fourth Proportional to 2,143.97, 3,216.04 and 1,049.25

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Solution

The fourth proportional to 2,143.97, 3,216.04 and 1,049.25 is: 1,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.97 : 3,216.04 = 1,049.25 : x
  2. Step 2: Convert to fraction form
    2,143.97/3,216.04 = 1,049.25/x
  3. Step 3: Cross multiply
    2,143.97x = 3,216.04 × 1,049.25
  4. Step 4: Simplify right side
    2,143.97x = 3,374,429.97
  5. Step 5: Solve for x
    x = 3,374,429.97/2,143.97
  6. Step 6: Final answer
    x = 1,573.92

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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.