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Finding the Fourth Proportional to 2,259.20, 3,387.62 and 798.14

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Solution

The fourth proportional to 2,259.20, 3,387.62 and 798.14 is: 1,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.20 : 3,387.62 = 798.14 : x
  2. Step 2: Convert to fraction form
    2,259.20/3,387.62 = 798.14/x
  3. Step 3: Cross multiply
    2,259.20x = 3,387.62 × 798.14
  4. Step 4: Simplify right side
    2,259.20x = 2,703,795.03
  5. Step 5: Solve for x
    x = 2,703,795.03/2,259.20
  6. Step 6: Final answer
    x = 1,196.79

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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.