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Finding the Fourth Proportional to 2,033.77, 3,056.06 and 1,902.55

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Solution

The fourth proportional to 2,033.77, 3,056.06 and 1,902.55 is: 2,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.77 : 3,056.06 = 1,902.55 : x
  2. Step 2: Convert to fraction form
    2,033.77/3,056.06 = 1,902.55/x
  3. Step 3: Cross multiply
    2,033.77x = 3,056.06 × 1,902.55
  4. Step 4: Simplify right side
    2,033.77x = 5,814,306.95
  5. Step 5: Solve for x
    x = 5,814,306.95/2,033.77
  6. Step 6: Final answer
    x = 2,858.88

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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.