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Finding the Fourth Proportional to 3,268.45, 4,510.86 and 1,942.16

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Solution

The fourth proportional to 3,268.45, 4,510.86 and 1,942.16 is: 2,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.45 : 4,510.86 = 1,942.16 : x
  2. Step 2: Convert to fraction form
    3,268.45/4,510.86 = 1,942.16/x
  3. Step 3: Cross multiply
    3,268.45x = 4,510.86 × 1,942.16
  4. Step 4: Simplify right side
    3,268.45x = 8,760,782.02
  5. Step 5: Solve for x
    x = 8,760,782.02/3,268.45
  6. Step 6: Final answer
    x = 2,680.41

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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.