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Finding the Fourth Proportional to 1,491.78, 2,249.62 and 1,471.27

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Solution

The fourth proportional to 1,491.78, 2,249.62 and 1,471.27 is: 2,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.78 : 2,249.62 = 1,471.27 : x
  2. Step 2: Convert to fraction form
    1,491.78/2,249.62 = 1,471.27/x
  3. Step 3: Cross multiply
    1,491.78x = 2,249.62 × 1,471.27
  4. Step 4: Simplify right side
    1,491.78x = 3,309,798.42
  5. Step 5: Solve for x
    x = 3,309,798.42/1,491.78
  6. Step 6: Final answer
    x = 2,218.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.