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Finding the Fourth Proportional to 1,947.22, 2,917.78 and 1,125.88

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Solution

The fourth proportional to 1,947.22, 2,917.78 and 1,125.88 is: 1,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.22 : 2,917.78 = 1,125.88 : x
  2. Step 2: Convert to fraction form
    1,947.22/2,917.78 = 1,125.88/x
  3. Step 3: Cross multiply
    1,947.22x = 2,917.78 × 1,125.88
  4. Step 4: Simplify right side
    1,947.22x = 3,285,070.15
  5. Step 5: Solve for x
    x = 3,285,070.15/1,947.22
  6. Step 6: Final answer
    x = 1,687.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.