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Finding the Fourth Proportional to 3,514.88, 4,851.17 and 2,098.67

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Solution

The fourth proportional to 3,514.88, 4,851.17 and 2,098.67 is: 2,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.88 : 4,851.17 = 2,098.67 : x
  2. Step 2: Convert to fraction form
    3,514.88/4,851.17 = 2,098.67/x
  3. Step 3: Cross multiply
    3,514.88x = 4,851.17 × 2,098.67
  4. Step 4: Simplify right side
    3,514.88x = 10,181,004.94
  5. Step 5: Solve for x
    x = 10,181,004.94/3,514.88
  6. Step 6: Final answer
    x = 2,896.54

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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.