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Finding the Fourth Proportional to 2,934.74, 4,049.96 and 1,608.47

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Solution

The fourth proportional to 2,934.74, 4,049.96 and 1,608.47 is: 2,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.74 : 4,049.96 = 1,608.47 : x
  2. Step 2: Convert to fraction form
    2,934.74/4,049.96 = 1,608.47/x
  3. Step 3: Cross multiply
    2,934.74x = 4,049.96 × 1,608.47
  4. Step 4: Simplify right side
    2,934.74x = 6,514,231.12
  5. Step 5: Solve for x
    x = 6,514,231.12/2,934.74
  6. Step 6: Final answer
    x = 2,219.70

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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.