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Finding the Fourth Proportional to 1,581.22, 2,371.72 and 656.43

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Solution

The fourth proportional to 1,581.22, 2,371.72 and 656.43 is: 984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.22 : 2,371.72 = 656.43 : x
  2. Step 2: Convert to fraction form
    1,581.22/2,371.72 = 656.43/x
  3. Step 3: Cross multiply
    1,581.22x = 2,371.72 × 656.43
  4. Step 4: Simplify right side
    1,581.22x = 1,556,868.16
  5. Step 5: Solve for x
    x = 1,556,868.16/1,581.22
  6. Step 6: Final answer
    x = 984.60

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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.