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Finding the Fourth Proportional to 2,098.88, 2,896.46 and 1,167.38

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Solution

The fourth proportional to 2,098.88, 2,896.46 and 1,167.38 is: 1,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.88 : 2,896.46 = 1,167.38 : x
  2. Step 2: Convert to fraction form
    2,098.88/2,896.46 = 1,167.38/x
  3. Step 3: Cross multiply
    2,098.88x = 2,896.46 × 1,167.38
  4. Step 4: Simplify right side
    2,098.88x = 3,381,249.16
  5. Step 5: Solve for x
    x = 3,381,249.16/2,098.88
  6. Step 6: Final answer
    x = 1,610.98

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Why These Related Problems?

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