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Finding the Fourth Proportional to 1,281, 1,912.14 and 1,099.56

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Solution

The fourth proportional to 1,281, 1,912.14 and 1,099.56 is: 1,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281 : 1,912.14 = 1,099.56 : x
  2. Step 2: Convert to fraction form
    1,281/1,912.14 = 1,099.56/x
  3. Step 3: Cross multiply
    1,281x = 1,912.14 × 1,099.56
  4. Step 4: Simplify right side
    1,281x = 2,102,512.66
  5. Step 5: Solve for x
    x = 2,102,512.66/1,281
  6. Step 6: Final answer
    x = 1,641.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.