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Finding the Fourth Proportional to 2,184.42, 3,275.76 and 797.44

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Solution

The fourth proportional to 2,184.42, 3,275.76 and 797.44 is: 1,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.42 : 3,275.76 = 797.44 : x
  2. Step 2: Convert to fraction form
    2,184.42/3,275.76 = 797.44/x
  3. Step 3: Cross multiply
    2,184.42x = 3,275.76 × 797.44
  4. Step 4: Simplify right side
    2,184.42x = 2,612,222.05
  5. Step 5: Solve for x
    x = 2,612,222.05/2,184.42
  6. Step 6: Final answer
    x = 1,195.84

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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.