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Finding the Fourth Proportional to 2,302.59, 3,453.90 and 571.22

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Solution

The fourth proportional to 2,302.59, 3,453.90 and 571.22 is: 856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.59 : 3,453.90 = 571.22 : x
  2. Step 2: Convert to fraction form
    2,302.59/3,453.90 = 571.22/x
  3. Step 3: Cross multiply
    2,302.59x = 3,453.90 × 571.22
  4. Step 4: Simplify right side
    2,302.59x = 1,972,930.30
  5. Step 5: Solve for x
    x = 1,972,930.30/2,302.59
  6. Step 6: Final answer
    x = 856.83

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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.