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Finding the Fourth Proportional to 2,892.54, 4,334.04 and 2,278.97

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Solution

The fourth proportional to 2,892.54, 4,334.04 and 2,278.97 is: 3,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.54 : 4,334.04 = 2,278.97 : x
  2. Step 2: Convert to fraction form
    2,892.54/4,334.04 = 2,278.97/x
  3. Step 3: Cross multiply
    2,892.54x = 4,334.04 × 2,278.97
  4. Step 4: Simplify right side
    2,892.54x = 9,877,141.72
  5. Step 5: Solve for x
    x = 9,877,141.72/2,892.54
  6. Step 6: Final answer
    x = 3,414.69

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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.