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Finding the Fourth Proportional to 2,768.40, 4,140.36 and 2,462.40

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Solution

The fourth proportional to 2,768.40, 4,140.36 and 2,462.40 is: 3,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.40 : 4,140.36 = 2,462.40 : x
  2. Step 2: Convert to fraction form
    2,768.40/4,140.36 = 2,462.40/x
  3. Step 3: Cross multiply
    2,768.40x = 4,140.36 × 2,462.40
  4. Step 4: Simplify right side
    2,768.40x = 10,195,222.46
  5. Step 5: Solve for x
    x = 10,195,222.46/2,768.40
  6. Step 6: Final answer
    x = 3,682.71

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1.5x scale

Why These Related Problems?

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