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Finding the Fourth Proportional to 2,819.41, 4,223.34 and 2,332.80

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Solution

The fourth proportional to 2,819.41, 4,223.34 and 2,332.80 is: 3,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.41 : 4,223.34 = 2,332.80 : x
  2. Step 2: Convert to fraction form
    2,819.41/4,223.34 = 2,332.80/x
  3. Step 3: Cross multiply
    2,819.41x = 4,223.34 × 2,332.80
  4. Step 4: Simplify right side
    2,819.41x = 9,852,207.55
  5. Step 5: Solve for x
    x = 9,852,207.55/2,819.41
  6. Step 6: Final answer
    x = 3,494.42

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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.