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Finding the Fourth Proportional to 6,560.49, 9,839.19 and 1,880.43

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Solution

The fourth proportional to 6,560.49, 9,839.19 and 1,880.43 is: 2,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.49 : 9,839.19 = 1,880.43 : x
  2. Step 2: Convert to fraction form
    6,560.49/9,839.19 = 1,880.43/x
  3. Step 3: Cross multiply
    6,560.49x = 9,839.19 × 1,880.43
  4. Step 4: Simplify right side
    6,560.49x = 18,501,908.05
  5. Step 5: Solve for x
    x = 18,501,908.05/6,560.49
  6. Step 6: Final answer
    x = 2,820.20

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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.