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Finding the Fourth Proportional to 2,092.32, 3,137.84 and 724

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Solution

The fourth proportional to 2,092.32, 3,137.84 and 724 is: 1,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.32 : 3,137.84 = 724 : x
  2. Step 2: Convert to fraction form
    2,092.32/3,137.84 = 724/x
  3. Step 3: Cross multiply
    2,092.32x = 3,137.84 × 724
  4. Step 4: Simplify right side
    2,092.32x = 2,271,796.16
  5. Step 5: Solve for x
    x = 2,271,796.16/2,092.32
  6. Step 6: Final answer
    x = 1,085.78

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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.