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Finding the Fourth Proportional to 2,462.80, 3,694.20 and 2,356.15

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Solution

The fourth proportional to 2,462.80, 3,694.20 and 2,356.15 is: 3,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.80 : 3,694.20 = 2,356.15 : x
  2. Step 2: Convert to fraction form
    2,462.80/3,694.20 = 2,356.15/x
  3. Step 3: Cross multiply
    2,462.80x = 3,694.20 × 2,356.15
  4. Step 4: Simplify right side
    2,462.80x = 8,704,089.33
  5. Step 5: Solve for x
    x = 8,704,089.33/2,462.80
  6. Step 6: Final answer
    x = 3,534.23

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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.