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Finding the Fourth Proportional to 2,785.93, 4,172.94 and 2,091.56

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Solution

The fourth proportional to 2,785.93, 4,172.94 and 2,091.56 is: 3,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.93 : 4,172.94 = 2,091.56 : x
  2. Step 2: Convert to fraction form
    2,785.93/4,172.94 = 2,091.56/x
  3. Step 3: Cross multiply
    2,785.93x = 4,172.94 × 2,091.56
  4. Step 4: Simplify right side
    2,785.93x = 8,727,933.52
  5. Step 5: Solve for x
    x = 8,727,933.52/2,785.93
  6. Step 6: Final answer
    x = 3,132.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.