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Finding the Fourth Proportional to 3,369.42, 4,648.41 and 2,305.47

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Solution

The fourth proportional to 3,369.42, 4,648.41 and 2,305.47 is: 3,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.42 : 4,648.41 = 2,305.47 : x
  2. Step 2: Convert to fraction form
    3,369.42/4,648.41 = 2,305.47/x
  3. Step 3: Cross multiply
    3,369.42x = 4,648.41 × 2,305.47
  4. Step 4: Simplify right side
    3,369.42x = 10,716,769.80
  5. Step 5: Solve for x
    x = 10,716,769.80/3,369.42
  6. Step 6: Final answer
    x = 3,180.60

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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.