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Finding the Fourth Proportional to 2,700.95, 3,727.62 and 1,861.38

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Solution

The fourth proportional to 2,700.95, 3,727.62 and 1,861.38 is: 2,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.95 : 3,727.62 = 1,861.38 : x
  2. Step 2: Convert to fraction form
    2,700.95/3,727.62 = 1,861.38/x
  3. Step 3: Cross multiply
    2,700.95x = 3,727.62 × 1,861.38
  4. Step 4: Simplify right side
    2,700.95x = 6,938,517.32
  5. Step 5: Solve for x
    x = 6,938,517.32/2,700.95
  6. Step 6: Final answer
    x = 2,568.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.