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Finding the Fourth Proportional to 2,528.92, 3,793.57 and 797.50

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Solution

The fourth proportional to 2,528.92, 3,793.57 and 797.50 is: 1,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.92 : 3,793.57 = 797.50 : x
  2. Step 2: Convert to fraction form
    2,528.92/3,793.57 = 797.50/x
  3. Step 3: Cross multiply
    2,528.92x = 3,793.57 × 797.50
  4. Step 4: Simplify right side
    2,528.92x = 3,025,372.08
  5. Step 5: Solve for x
    x = 3,025,372.08/2,528.92
  6. Step 6: Final answer
    x = 1,196.31

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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.