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Finding the Fourth Proportional to 3,092.78, 4,266.34 and 2,098.58

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Solution

The fourth proportional to 3,092.78, 4,266.34 and 2,098.58 is: 2,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.78 : 4,266.34 = 2,098.58 : x
  2. Step 2: Convert to fraction form
    3,092.78/4,266.34 = 2,098.58/x
  3. Step 3: Cross multiply
    3,092.78x = 4,266.34 × 2,098.58
  4. Step 4: Simplify right side
    3,092.78x = 8,953,229.22
  5. Step 5: Solve for x
    x = 8,953,229.22/3,092.78
  6. Step 6: Final answer
    x = 2,894.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.