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Finding the Fourth Proportional to 1,845.78, 2,766.62 and 922.12

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Solution

The fourth proportional to 1,845.78, 2,766.62 and 922.12 is: 1,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.78 : 2,766.62 = 922.12 : x
  2. Step 2: Convert to fraction form
    1,845.78/2,766.62 = 922.12/x
  3. Step 3: Cross multiply
    1,845.78x = 2,766.62 × 922.12
  4. Step 4: Simplify right side
    1,845.78x = 2,551,141.80
  5. Step 5: Solve for x
    x = 2,551,141.80/1,845.78
  6. Step 6: Final answer
    x = 1,382.15

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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.