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Finding the Fourth Proportional to 2,772.52, 4,158.38 and 824.44

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Solution

The fourth proportional to 2,772.52, 4,158.38 and 824.44 is: 1,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.52 : 4,158.38 = 824.44 : x
  2. Step 2: Convert to fraction form
    2,772.52/4,158.38 = 824.44/x
  3. Step 3: Cross multiply
    2,772.52x = 4,158.38 × 824.44
  4. Step 4: Simplify right side
    2,772.52x = 3,428,334.81
  5. Step 5: Solve for x
    x = 3,428,334.81/2,772.52
  6. Step 6: Final answer
    x = 1,236.54

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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.