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Finding the Fourth Proportional to 2,934.70, 4,049.86 and 1,608.40

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Solution

The fourth proportional to 2,934.70, 4,049.86 and 1,608.40 is: 2,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.70 : 4,049.86 = 1,608.40 : x
  2. Step 2: Convert to fraction form
    2,934.70/4,049.86 = 1,608.40/x
  3. Step 3: Cross multiply
    2,934.70x = 4,049.86 × 1,608.40
  4. Step 4: Simplify right side
    2,934.70x = 6,513,794.82
  5. Step 5: Solve for x
    x = 6,513,794.82/2,934.70
  6. Step 6: Final answer
    x = 2,219.58

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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.