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Finding the Fourth Proportional to 1,581.85, 2,373.31 and 996.17

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Solution

The fourth proportional to 1,581.85, 2,373.31 and 996.17 is: 1,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.85 : 2,373.31 = 996.17 : x
  2. Step 2: Convert to fraction form
    1,581.85/2,373.31 = 996.17/x
  3. Step 3: Cross multiply
    1,581.85x = 2,373.31 × 996.17
  4. Step 4: Simplify right side
    1,581.85x = 2,364,220.22
  5. Step 5: Solve for x
    x = 2,364,220.22/1,581.85
  6. Step 6: Final answer
    x = 1,494.59

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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.