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Finding the Fourth Proportional to 2,732.70, 3,768.78 and 1,737.60

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Solution

The fourth proportional to 2,732.70, 3,768.78 and 1,737.60 is: 2,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.70 : 3,768.78 = 1,737.60 : x
  2. Step 2: Convert to fraction form
    2,732.70/3,768.78 = 1,737.60/x
  3. Step 3: Cross multiply
    2,732.70x = 3,768.78 × 1,737.60
  4. Step 4: Simplify right side
    2,732.70x = 6,548,632.13
  5. Step 5: Solve for x
    x = 6,548,632.13/2,732.70
  6. Step 6: Final answer
    x = 2,396.40

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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.