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Finding the Fourth Proportional to 2,691.22, 3,713.79 and 1,496.20

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Solution

The fourth proportional to 2,691.22, 3,713.79 and 1,496.20 is: 2,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.22 : 3,713.79 = 1,496.20 : x
  2. Step 2: Convert to fraction form
    2,691.22/3,713.79 = 1,496.20/x
  3. Step 3: Cross multiply
    2,691.22x = 3,713.79 × 1,496.20
  4. Step 4: Simplify right side
    2,691.22x = 5,556,572.60
  5. Step 5: Solve for x
    x = 5,556,572.60/2,691.22
  6. Step 6: Final answer
    x = 2,064.70

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1.5x scale

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.