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Finding the Fourth Proportional to 2,178.94, 3,268.39 and 863.10

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Solution

The fourth proportional to 2,178.94, 3,268.39 and 863.10 is: 1,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.94 : 3,268.39 = 863.10 : x
  2. Step 2: Convert to fraction form
    2,178.94/3,268.39 = 863.10/x
  3. Step 3: Cross multiply
    2,178.94x = 3,268.39 × 863.10
  4. Step 4: Simplify right side
    2,178.94x = 2,820,947.41
  5. Step 5: Solve for x
    x = 2,820,947.41/2,178.94
  6. Step 6: Final answer
    x = 1,294.64

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Similar ratio
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1.5x scale

Why These Related Problems?

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