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Finding the Fourth Proportional to 3,189.93, 4,406.04 and 2,304.33

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Solution

The fourth proportional to 3,189.93, 4,406.04 and 2,304.33 is: 3,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.93 : 4,406.04 = 2,304.33 : x
  2. Step 2: Convert to fraction form
    3,189.93/4,406.04 = 2,304.33/x
  3. Step 3: Cross multiply
    3,189.93x = 4,406.04 × 2,304.33
  4. Step 4: Simplify right side
    3,189.93x = 10,152,970.15
  5. Step 5: Solve for x
    x = 10,152,970.15/3,189.93
  6. Step 6: Final answer
    x = 3,182.82

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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.