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Finding the Fourth Proportional to 2,552.35, 3,829.13 and 797.29

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Solution

The fourth proportional to 2,552.35, 3,829.13 and 797.29 is: 1,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.35 : 3,829.13 = 797.29 : x
  2. Step 2: Convert to fraction form
    2,552.35/3,829.13 = 797.29/x
  3. Step 3: Cross multiply
    2,552.35x = 3,829.13 × 797.29
  4. Step 4: Simplify right side
    2,552.35x = 3,052,927.06
  5. Step 5: Solve for x
    x = 3,052,927.06/2,552.35
  6. Step 6: Final answer
    x = 1,196.12

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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.