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Finding the Fourth Proportional to 2,302.85, 3,454.27 and 571.47

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Solution

The fourth proportional to 2,302.85, 3,454.27 and 571.47 is: 857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.85 : 3,454.27 = 571.47 : x
  2. Step 2: Convert to fraction form
    2,302.85/3,454.27 = 571.47/x
  3. Step 3: Cross multiply
    2,302.85x = 3,454.27 × 571.47
  4. Step 4: Simplify right side
    2,302.85x = 1,974,011.68
  5. Step 5: Solve for x
    x = 1,974,011.68/2,302.85
  6. Step 6: Final answer
    x = 857.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.