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Finding the Fourth Proportional to 2,932.86, 4,055.16 and 2,563.84

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Solution

The fourth proportional to 2,932.86, 4,055.16 and 2,563.84 is: 3,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.86 : 4,055.16 = 2,563.84 : x
  2. Step 2: Convert to fraction form
    2,932.86/4,055.16 = 2,563.84/x
  3. Step 3: Cross multiply
    2,932.86x = 4,055.16 × 2,563.84
  4. Step 4: Simplify right side
    2,932.86x = 10,396,781.41
  5. Step 5: Solve for x
    x = 10,396,781.41/2,932.86
  6. Step 6: Final answer
    x = 3,544.93

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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.