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Finding the Fourth Proportional to 2,080.98, 2,870.85 and 1,252.50

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Solution

The fourth proportional to 2,080.98, 2,870.85 and 1,252.50 is: 1,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.98 : 2,870.85 = 1,252.50 : x
  2. Step 2: Convert to fraction form
    2,080.98/2,870.85 = 1,252.50/x
  3. Step 3: Cross multiply
    2,080.98x = 2,870.85 × 1,252.50
  4. Step 4: Simplify right side
    2,080.98x = 3,595,739.63
  5. Step 5: Solve for x
    x = 3,595,739.63/2,080.98
  6. Step 6: Final answer
    x = 1,727.91

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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.