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Finding the Fourth Proportional to 2,080.57, 2,870.75 and 1,218.05

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Solution

The fourth proportional to 2,080.57, 2,870.75 and 1,218.05 is: 1,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.57 : 2,870.75 = 1,218.05 : x
  2. Step 2: Convert to fraction form
    2,080.57/2,870.75 = 1,218.05/x
  3. Step 3: Cross multiply
    2,080.57x = 2,870.75 × 1,218.05
  4. Step 4: Simplify right side
    2,080.57x = 3,496,710.95
  5. Step 5: Solve for x
    x = 3,496,710.95/2,080.57
  6. Step 6: Final answer
    x = 1,680.65

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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.