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Finding the Fourth Proportional to 3,148.34, 4,717.03 and 2,209.29

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Solution

The fourth proportional to 3,148.34, 4,717.03 and 2,209.29 is: 3,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.34 : 4,717.03 = 2,209.29 : x
  2. Step 2: Convert to fraction form
    3,148.34/4,717.03 = 2,209.29/x
  3. Step 3: Cross multiply
    3,148.34x = 4,717.03 × 2,209.29
  4. Step 4: Simplify right side
    3,148.34x = 10,421,292.73
  5. Step 5: Solve for x
    x = 10,421,292.73/3,148.34
  6. Step 6: Final answer
    x = 3,310.10

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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.