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Finding the Fourth Proportional to 2,283.52, 3,151.04 and 1,288.80

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Solution

The fourth proportional to 2,283.52, 3,151.04 and 1,288.80 is: 1,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.52 : 3,151.04 = 1,288.80 : x
  2. Step 2: Convert to fraction form
    2,283.52/3,151.04 = 1,288.80/x
  3. Step 3: Cross multiply
    2,283.52x = 3,151.04 × 1,288.80
  4. Step 4: Simplify right side
    2,283.52x = 4,061,060.35
  5. Step 5: Solve for x
    x = 4,061,060.35/2,283.52
  6. Step 6: Final answer
    x = 1,778.42

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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.