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Finding the Fourth Proportional to 2,281.88, 3,149.08 and 1,287.34

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Solution

The fourth proportional to 2,281.88, 3,149.08 and 1,287.34 is: 1,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.88 : 3,149.08 = 1,287.34 : x
  2. Step 2: Convert to fraction form
    2,281.88/3,149.08 = 1,287.34/x
  3. Step 3: Cross multiply
    2,281.88x = 3,149.08 × 1,287.34
  4. Step 4: Simplify right side
    2,281.88x = 4,053,936.65
  5. Step 5: Solve for x
    x = 4,053,936.65/2,281.88
  6. Step 6: Final answer
    x = 1,776.58

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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.