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Finding the Fourth Proportional to 2,326.24, 3,489.36 and 571.25

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Solution

The fourth proportional to 2,326.24, 3,489.36 and 571.25 is: 856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.24 : 3,489.36 = 571.25 : x
  2. Step 2: Convert to fraction form
    2,326.24/3,489.36 = 571.25/x
  3. Step 3: Cross multiply
    2,326.24x = 3,489.36 × 571.25
  4. Step 4: Simplify right side
    2,326.24x = 1,993,306.69
  5. Step 5: Solve for x
    x = 1,993,306.69/2,326.24
  6. Step 6: Final answer
    x = 856.88

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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.