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Finding the Fourth Proportional to 3,164.13, 4,365.90 and 2,046.47

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Solution

The fourth proportional to 3,164.13, 4,365.90 and 2,046.47 is: 2,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.13 : 4,365.90 = 2,046.47 : x
  2. Step 2: Convert to fraction form
    3,164.13/4,365.90 = 2,046.47/x
  3. Step 3: Cross multiply
    3,164.13x = 4,365.90 × 2,046.47
  4. Step 4: Simplify right side
    3,164.13x = 8,934,661.54
  5. Step 5: Solve for x
    x = 8,934,661.54/3,164.13
  6. Step 6: Final answer
    x = 2,823.73

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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.