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Finding the Fourth Proportional to 2,281.96, 3,149.10 and 1,287.23

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Solution

The fourth proportional to 2,281.96, 3,149.10 and 1,287.23 is: 1,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.96 : 3,149.10 = 1,287.23 : x
  2. Step 2: Convert to fraction form
    2,281.96/3,149.10 = 1,287.23/x
  3. Step 3: Cross multiply
    2,281.96x = 3,149.10 × 1,287.23
  4. Step 4: Simplify right side
    2,281.96x = 4,053,623.87
  5. Step 5: Solve for x
    x = 4,053,623.87/2,281.96
  6. Step 6: Final answer
    x = 1,776.38

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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.