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Finding the Fourth Proportional to 3,287.19, 4,930.11 and 1,206.48

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Solution

The fourth proportional to 3,287.19, 4,930.11 and 1,206.48 is: 1,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.19 : 4,930.11 = 1,206.48 : x
  2. Step 2: Convert to fraction form
    3,287.19/4,930.11 = 1,206.48/x
  3. Step 3: Cross multiply
    3,287.19x = 4,930.11 × 1,206.48
  4. Step 4: Simplify right side
    3,287.19x = 5,948,079.11
  5. Step 5: Solve for x
    x = 5,948,079.11/3,287.19
  6. Step 6: Final answer
    x = 1,809.47

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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.