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Finding the Fourth Proportional to 2,709.16, 4,064.42 and 1,249.33

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Solution

The fourth proportional to 2,709.16, 4,064.42 and 1,249.33 is: 1,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.16 : 4,064.42 = 1,249.33 : x
  2. Step 2: Convert to fraction form
    2,709.16/4,064.42 = 1,249.33/x
  3. Step 3: Cross multiply
    2,709.16x = 4,064.42 × 1,249.33
  4. Step 4: Simplify right side
    2,709.16x = 5,077,805.75
  5. Step 5: Solve for x
    x = 5,077,805.75/2,709.16
  6. Step 6: Final answer
    x = 1,874.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.