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Finding the Fourth Proportional to 2,080.20, 2,870.17 and 1,293.82

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Solution

The fourth proportional to 2,080.20, 2,870.17 and 1,293.82 is: 1,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.20 : 2,870.17 = 1,293.82 : x
  2. Step 2: Convert to fraction form
    2,080.20/2,870.17 = 1,293.82/x
  3. Step 3: Cross multiply
    2,080.20x = 2,870.17 × 1,293.82
  4. Step 4: Simplify right side
    2,080.20x = 3,713,483.35
  5. Step 5: Solve for x
    x = 3,713,483.35/2,080.20
  6. Step 6: Final answer
    x = 1,785.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.