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Finding the Fourth Proportional to 2,080.52, 2,870.98 and 1,639.56

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Solution

The fourth proportional to 2,080.52, 2,870.98 and 1,639.56 is: 2,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.52 : 2,870.98 = 1,639.56 : x
  2. Step 2: Convert to fraction form
    2,080.52/2,870.98 = 1,639.56/x
  3. Step 3: Cross multiply
    2,080.52x = 2,870.98 × 1,639.56
  4. Step 4: Simplify right side
    2,080.52x = 4,707,143.97
  5. Step 5: Solve for x
    x = 4,707,143.97/2,080.52
  6. Step 6: Final answer
    x = 2,262.48

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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.