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Finding the Fourth Proportional to 2,302.68, 3,453.84 and 571.26

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Solution

The fourth proportional to 2,302.68, 3,453.84 and 571.26 is: 856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.68 : 3,453.84 = 571.26 : x
  2. Step 2: Convert to fraction form
    2,302.68/3,453.84 = 571.26/x
  3. Step 3: Cross multiply
    2,302.68x = 3,453.84 × 571.26
  4. Step 4: Simplify right side
    2,302.68x = 1,973,040.64
  5. Step 5: Solve for x
    x = 1,973,040.64/2,302.68
  6. Step 6: Final answer
    x = 856.85

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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.