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Finding the Fourth Proportional to 2,080.38, 2,870.82 and 1,491.90

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Solution

The fourth proportional to 2,080.38, 2,870.82 and 1,491.90 is: 2,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.38 : 2,870.82 = 1,491.90 : x
  2. Step 2: Convert to fraction form
    2,080.38/2,870.82 = 1,491.90/x
  3. Step 3: Cross multiply
    2,080.38x = 2,870.82 × 1,491.90
  4. Step 4: Simplify right side
    2,080.38x = 4,282,976.36
  5. Step 5: Solve for x
    x = 4,282,976.36/2,080.38
  6. Step 6: Final answer
    x = 2,058.75

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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.