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Finding the Fourth Proportional to 2,278.32, 3,415.45 and 892.61

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Solution

The fourth proportional to 2,278.32, 3,415.45 and 892.61 is: 1,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.32 : 3,415.45 = 892.61 : x
  2. Step 2: Convert to fraction form
    2,278.32/3,415.45 = 892.61/x
  3. Step 3: Cross multiply
    2,278.32x = 3,415.45 × 892.61
  4. Step 4: Simplify right side
    2,278.32x = 3,048,664.82
  5. Step 5: Solve for x
    x = 3,048,664.82/2,278.32
  6. Step 6: Final answer
    x = 1,338.12

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