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Finding the Fourth Proportional to 3,211.65, 4,819.03 and 1,567.31

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Solution

The fourth proportional to 3,211.65, 4,819.03 and 1,567.31 is: 2,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.65 : 4,819.03 = 1,567.31 : x
  2. Step 2: Convert to fraction form
    3,211.65/4,819.03 = 1,567.31/x
  3. Step 3: Cross multiply
    3,211.65x = 4,819.03 × 1,567.31
  4. Step 4: Simplify right side
    3,211.65x = 7,552,885.90
  5. Step 5: Solve for x
    x = 7,552,885.90/3,211.65
  6. Step 6: Final answer
    x = 2,351.72

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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.