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Finding the Fourth Proportional to 1,727.85, 2,590.31 and 753.23

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Solution

The fourth proportional to 1,727.85, 2,590.31 and 753.23 is: 1,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.85 : 2,590.31 = 753.23 : x
  2. Step 2: Convert to fraction form
    1,727.85/2,590.31 = 753.23/x
  3. Step 3: Cross multiply
    1,727.85x = 2,590.31 × 753.23
  4. Step 4: Simplify right side
    1,727.85x = 1,951,082.48
  5. Step 5: Solve for x
    x = 1,951,082.48/1,727.85
  6. Step 6: Final answer
    x = 1,129.20

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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.