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Finding the Fourth Proportional to 2,974.68, 4,464.54 and 1,220.63

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Solution

The fourth proportional to 2,974.68, 4,464.54 and 1,220.63 is: 1,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.68 : 4,464.54 = 1,220.63 : x
  2. Step 2: Convert to fraction form
    2,974.68/4,464.54 = 1,220.63/x
  3. Step 3: Cross multiply
    2,974.68x = 4,464.54 × 1,220.63
  4. Step 4: Simplify right side
    2,974.68x = 5,449,529.14
  5. Step 5: Solve for x
    x = 5,449,529.14/2,974.68
  6. Step 6: Final answer
    x = 1,831.97

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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.