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Finding the Fourth Proportional to 2,552.52, 3,827.68 and 797.12

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Solution

The fourth proportional to 2,552.52, 3,827.68 and 797.12 is: 1,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.52 : 3,827.68 = 797.12 : x
  2. Step 2: Convert to fraction form
    2,552.52/3,827.68 = 797.12/x
  3. Step 3: Cross multiply
    2,552.52x = 3,827.68 × 797.12
  4. Step 4: Simplify right side
    2,552.52x = 3,051,120.28
  5. Step 5: Solve for x
    x = 3,051,120.28/2,552.52
  6. Step 6: Final answer
    x = 1,195.34

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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.