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Finding the Fourth Proportional to 2,522.41, 3,783.63 and 878.95

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Solution

The fourth proportional to 2,522.41, 3,783.63 and 878.95 is: 1,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.41 : 3,783.63 = 878.95 : x
  2. Step 2: Convert to fraction form
    2,522.41/3,783.63 = 878.95/x
  3. Step 3: Cross multiply
    2,522.41x = 3,783.63 × 878.95
  4. Step 4: Simplify right side
    2,522.41x = 3,325,629.61
  5. Step 5: Solve for x
    x = 3,325,629.61/2,522.41
  6. Step 6: Final answer
    x = 1,318.43

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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.