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Finding the Fourth Proportional to 3,287.13, 4,929.50 and 1,206.45

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Solution

The fourth proportional to 3,287.13, 4,929.50 and 1,206.45 is: 1,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.13 : 4,929.50 = 1,206.45 : x
  2. Step 2: Convert to fraction form
    3,287.13/4,929.50 = 1,206.45/x
  3. Step 3: Cross multiply
    3,287.13x = 4,929.50 × 1,206.45
  4. Step 4: Simplify right side
    3,287.13x = 5,947,189.24
  5. Step 5: Solve for x
    x = 5,947,189.24/3,287.13
  6. Step 6: Final answer
    x = 1,809.23

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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.