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Finding the Fourth Proportional to 2,278.76, 3,418.74 and 892.17

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Solution

The fourth proportional to 2,278.76, 3,418.74 and 892.17 is: 1,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.76 : 3,418.74 = 892.17 : x
  2. Step 2: Convert to fraction form
    2,278.76/3,418.74 = 892.17/x
  3. Step 3: Cross multiply
    2,278.76x = 3,418.74 × 892.17
  4. Step 4: Simplify right side
    2,278.76x = 3,050,097.27
  5. Step 5: Solve for x
    x = 3,050,097.27/2,278.76
  6. Step 6: Final answer
    x = 1,338.49

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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.