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Finding the Fourth Proportional to 3,207.61, 4,812.19 and 1,563.78

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Solution

The fourth proportional to 3,207.61, 4,812.19 and 1,563.78 is: 2,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.61 : 4,812.19 = 1,563.78 : x
  2. Step 2: Convert to fraction form
    3,207.61/4,812.19 = 1,563.78/x
  3. Step 3: Cross multiply
    3,207.61x = 4,812.19 × 1,563.78
  4. Step 4: Simplify right side
    3,207.61x = 7,525,220.61
  5. Step 5: Solve for x
    x = 7,525,220.61/3,207.61
  6. Step 6: Final answer
    x = 2,346.05

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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.