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Finding the Fourth Proportional to 2,809.20, 4,204.20 and 2,463.60

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Solution

The fourth proportional to 2,809.20, 4,204.20 and 2,463.60 is: 3,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.20 : 4,204.20 = 2,463.60 : x
  2. Step 2: Convert to fraction form
    2,809.20/4,204.20 = 2,463.60/x
  3. Step 3: Cross multiply
    2,809.20x = 4,204.20 × 2,463.60
  4. Step 4: Simplify right side
    2,809.20x = 10,357,467.12
  5. Step 5: Solve for x
    x = 10,357,467.12/2,809.20
  6. Step 6: Final answer
    x = 3,686.98

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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.