Home / 1,227.60-1,694.88-1,102.86

Finding the Fourth Proportional to 1,227.60, 1,694.88 and 1,102.86

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Solution

The fourth proportional to 1,227.60, 1,694.88 and 1,102.86 is: 1,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.60 : 1,694.88 = 1,102.86 : x
  2. Step 2: Convert to fraction form
    1,227.60/1,694.88 = 1,102.86/x
  3. Step 3: Cross multiply
    1,227.60x = 1,694.88 × 1,102.86
  4. Step 4: Simplify right side
    1,227.60x = 1,869,215.36
  5. Step 5: Solve for x
    x = 1,869,215.36/1,227.60
  6. Step 6: Final answer
    x = 1,522.66

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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.