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Finding the Fourth Proportional to 3,164.27, 4,365.63 and 2,046.62

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Solution

The fourth proportional to 3,164.27, 4,365.63 and 2,046.62 is: 2,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.27 : 4,365.63 = 2,046.62 : x
  2. Step 2: Convert to fraction form
    3,164.27/4,365.63 = 2,046.62/x
  3. Step 3: Cross multiply
    3,164.27x = 4,365.63 × 2,046.62
  4. Step 4: Simplify right side
    3,164.27x = 8,934,785.67
  5. Step 5: Solve for x
    x = 8,934,785.67/3,164.27
  6. Step 6: Final answer
    x = 2,823.65

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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.