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Finding the Fourth Proportional to 1,917, 2,644.98 and 1,131

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Solution

The fourth proportional to 1,917, 2,644.98 and 1,131 is: 1,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917 : 2,644.98 = 1,131 : x
  2. Step 2: Convert to fraction form
    1,917/2,644.98 = 1,131/x
  3. Step 3: Cross multiply
    1,917x = 2,644.98 × 1,131
  4. Step 4: Simplify right side
    1,917x = 2,991,472.38
  5. Step 5: Solve for x
    x = 2,991,472.38/1,917
  6. Step 6: Final answer
    x = 1,560.50

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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.