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Finding the Fourth Proportional to 2,041.18, 3,060.42 and 809.17

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Solution

The fourth proportional to 2,041.18, 3,060.42 and 809.17 is: 1,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.18 : 3,060.42 = 809.17 : x
  2. Step 2: Convert to fraction form
    2,041.18/3,060.42 = 809.17/x
  3. Step 3: Cross multiply
    2,041.18x = 3,060.42 × 809.17
  4. Step 4: Simplify right side
    2,041.18x = 2,476,400.05
  5. Step 5: Solve for x
    x = 2,476,400.05/2,041.18
  6. Step 6: Final answer
    x = 1,213.22

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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.