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Finding the Fourth Proportional to 2,179.07, 3,266.37 and 862.30

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Solution

The fourth proportional to 2,179.07, 3,266.37 and 862.30 is: 1,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.07 : 3,266.37 = 862.30 : x
  2. Step 2: Convert to fraction form
    2,179.07/3,266.37 = 862.30/x
  3. Step 3: Cross multiply
    2,179.07x = 3,266.37 × 862.30
  4. Step 4: Simplify right side
    2,179.07x = 2,816,574.52
  5. Step 5: Solve for x
    x = 2,816,574.52/2,179.07
  6. Step 6: Final answer
    x = 1,292.56

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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.