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Finding the Fourth Proportional to 2,113.37, 3,170.49 and 797.52

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Solution

The fourth proportional to 2,113.37, 3,170.49 and 797.52 is: 1,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.37 : 3,170.49 = 797.52 : x
  2. Step 2: Convert to fraction form
    2,113.37/3,170.49 = 797.52/x
  3. Step 3: Cross multiply
    2,113.37x = 3,170.49 × 797.52
  4. Step 4: Simplify right side
    2,113.37x = 2,528,529.18
  5. Step 5: Solve for x
    x = 2,528,529.18/2,113.37
  6. Step 6: Final answer
    x = 1,196.44

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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.