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Finding the Fourth Proportional to 2,072.79, 3,108.27 and 1,098.66

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Solution

The fourth proportional to 2,072.79, 3,108.27 and 1,098.66 is: 1,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.79 : 3,108.27 = 1,098.66 : x
  2. Step 2: Convert to fraction form
    2,072.79/3,108.27 = 1,098.66/x
  3. Step 3: Cross multiply
    2,072.79x = 3,108.27 × 1,098.66
  4. Step 4: Simplify right side
    2,072.79x = 3,414,926.42
  5. Step 5: Solve for x
    x = 3,414,926.42/2,072.79
  6. Step 6: Final answer
    x = 1,647.51

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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.