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Finding the Fourth Proportional to 2,309.20, 3,463.80 and 1,790.80

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Solution

The fourth proportional to 2,309.20, 3,463.80 and 1,790.80 is: 2,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.20 : 3,463.80 = 1,790.80 : x
  2. Step 2: Convert to fraction form
    2,309.20/3,463.80 = 1,790.80/x
  3. Step 3: Cross multiply
    2,309.20x = 3,463.80 × 1,790.80
  4. Step 4: Simplify right side
    2,309.20x = 6,202,973.04
  5. Step 5: Solve for x
    x = 6,202,973.04/2,309.20
  6. Step 6: Final answer
    x = 2,686.20

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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.