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Finding the Fourth Proportional to 2,528.71, 3,793.66 and 797.33

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Solution

The fourth proportional to 2,528.71, 3,793.66 and 797.33 is: 1,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.71 : 3,793.66 = 797.33 : x
  2. Step 2: Convert to fraction form
    2,528.71/3,793.66 = 797.33/x
  3. Step 3: Cross multiply
    2,528.71x = 3,793.66 × 797.33
  4. Step 4: Simplify right side
    2,528.71x = 3,024,798.93
  5. Step 5: Solve for x
    x = 3,024,798.93/2,528.71
  6. Step 6: Final answer
    x = 1,196.18

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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.