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Finding the Fourth Proportional to 2,384.46, 3,286.35 and 2,012.40

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Solution

The fourth proportional to 2,384.46, 3,286.35 and 2,012.40 is: 2,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.46 : 3,286.35 = 2,012.40 : x
  2. Step 2: Convert to fraction form
    2,384.46/3,286.35 = 2,012.40/x
  3. Step 3: Cross multiply
    2,384.46x = 3,286.35 × 2,012.40
  4. Step 4: Simplify right side
    2,384.46x = 6,613,450.74
  5. Step 5: Solve for x
    x = 6,613,450.74/2,384.46
  6. Step 6: Final answer
    x = 2,773.56

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