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Finding the Fourth Proportional to 2,460.80, 3,685.80 and 2,406.80

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Solution

The fourth proportional to 2,460.80, 3,685.80 and 2,406.80 is: 3,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.80 : 3,685.80 = 2,406.80 : x
  2. Step 2: Convert to fraction form
    2,460.80/3,685.80 = 2,406.80/x
  3. Step 3: Cross multiply
    2,460.80x = 3,685.80 × 2,406.80
  4. Step 4: Simplify right side
    2,460.80x = 8,870,983.44
  5. Step 5: Solve for x
    x = 8,870,983.44/2,460.80
  6. Step 6: Final answer
    x = 3,604.92

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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.