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Finding the Fourth Proportional to 2,646.56, 3,963.56 and 2,096.97

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Solution

The fourth proportional to 2,646.56, 3,963.56 and 2,096.97 is: 3,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.56 : 3,963.56 = 2,096.97 : x
  2. Step 2: Convert to fraction form
    2,646.56/3,963.56 = 2,096.97/x
  3. Step 3: Cross multiply
    2,646.56x = 3,963.56 × 2,096.97
  4. Step 4: Simplify right side
    2,646.56x = 8,311,455.93
  5. Step 5: Solve for x
    x = 8,311,455.93/2,646.56
  6. Step 6: Final answer
    x = 3,140.48

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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.