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Finding the Fourth Proportional to 2,282.58, 3,149.89 and 1,288.00

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Solution

The fourth proportional to 2,282.58, 3,149.89 and 1,288.00 is: 1,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.58 : 3,149.89 = 1,288.00 : x
  2. Step 2: Convert to fraction form
    2,282.58/3,149.89 = 1,288.00/x
  3. Step 3: Cross multiply
    2,282.58x = 3,149.89 × 1,288.00
  4. Step 4: Simplify right side
    2,282.58x = 4,057,059.04
  5. Step 5: Solve for x
    x = 4,057,059.04/2,282.58
  6. Step 6: Final answer
    x = 1,777.40

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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.