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Finding the Fourth Proportional to 2,647.28, 3,649.01 and 2,086.82

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Solution

The fourth proportional to 2,647.28, 3,649.01 and 2,086.82 is: 2,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.28 : 3,649.01 = 2,086.82 : x
  2. Step 2: Convert to fraction form
    2,647.28/3,649.01 = 2,086.82/x
  3. Step 3: Cross multiply
    2,647.28x = 3,649.01 × 2,086.82
  4. Step 4: Simplify right side
    2,647.28x = 7,614,798.37
  5. Step 5: Solve for x
    x = 7,614,798.37/2,647.28
  6. Step 6: Final answer
    x = 2,876.47

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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.