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Finding the Fourth Proportional to 3,233.46, 4,463.94 and 1,974.81

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Solution

The fourth proportional to 3,233.46, 4,463.94 and 1,974.81 is: 2,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.46 : 4,463.94 = 1,974.81 : x
  2. Step 2: Convert to fraction form
    3,233.46/4,463.94 = 1,974.81/x
  3. Step 3: Cross multiply
    3,233.46x = 4,463.94 × 1,974.81
  4. Step 4: Simplify right side
    3,233.46x = 8,815,433.35
  5. Step 5: Solve for x
    x = 8,815,433.35/3,233.46
  6. Step 6: Final answer
    x = 2,726.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.