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Finding the Fourth Proportional to 6,061.80, 9,091.67 and 1,678.23

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Solution

The fourth proportional to 6,061.80, 9,091.67 and 1,678.23 is: 2,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.80 : 9,091.67 = 1,678.23 : x
  2. Step 2: Convert to fraction form
    6,061.80/9,091.67 = 1,678.23/x
  3. Step 3: Cross multiply
    6,061.80x = 9,091.67 × 1,678.23
  4. Step 4: Simplify right side
    6,061.80x = 15,257,913.34
  5. Step 5: Solve for x
    x = 15,257,913.34/6,061.80
  6. Step 6: Final answer
    x = 2,517.06

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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.