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Finding the Fourth Proportional to 2,061.66, 3,092.93 and 674.89

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Solution

The fourth proportional to 2,061.66, 3,092.93 and 674.89 is: 1,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.66 : 3,092.93 = 674.89 : x
  2. Step 2: Convert to fraction form
    2,061.66/3,092.93 = 674.89/x
  3. Step 3: Cross multiply
    2,061.66x = 3,092.93 × 674.89
  4. Step 4: Simplify right side
    2,061.66x = 2,087,384.15
  5. Step 5: Solve for x
    x = 2,087,384.15/2,061.66
  6. Step 6: Final answer
    x = 1,012.48

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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.