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Finding the Fourth Proportional to 2,282.66, 3,150.13 and 1,287.93

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Solution

The fourth proportional to 2,282.66, 3,150.13 and 1,287.93 is: 1,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.66 : 3,150.13 = 1,287.93 : x
  2. Step 2: Convert to fraction form
    2,282.66/3,150.13 = 1,287.93/x
  3. Step 3: Cross multiply
    2,282.66x = 3,150.13 × 1,287.93
  4. Step 4: Simplify right side
    2,282.66x = 4,057,146.93
  5. Step 5: Solve for x
    x = 4,057,146.93/2,282.66
  6. Step 6: Final answer
    x = 1,777.38

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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.