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Finding the Fourth Proportional to 2,939.78, 4,057 and 1,613.52

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Solution

The fourth proportional to 2,939.78, 4,057 and 1,613.52 is: 2,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.78 : 4,057 = 1,613.52 : x
  2. Step 2: Convert to fraction form
    2,939.78/4,057 = 1,613.52/x
  3. Step 3: Cross multiply
    2,939.78x = 4,057 × 1,613.52
  4. Step 4: Simplify right side
    2,939.78x = 6,546,050.64
  5. Step 5: Solve for x
    x = 6,546,050.64/2,939.78
  6. Step 6: Final answer
    x = 2,226.71

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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.