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Finding the Fourth Proportional to 1,581.15, 2,371.74 and 656.46

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Solution

The fourth proportional to 1,581.15, 2,371.74 and 656.46 is: 984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.15 : 2,371.74 = 656.46 : x
  2. Step 2: Convert to fraction form
    1,581.15/2,371.74 = 656.46/x
  3. Step 3: Cross multiply
    1,581.15x = 2,371.74 × 656.46
  4. Step 4: Simplify right side
    1,581.15x = 1,556,952.44
  5. Step 5: Solve for x
    x = 1,556,952.44/1,581.15
  6. Step 6: Final answer
    x = 984.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.