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Finding the Fourth Proportional to 3,028.82, 4,542.86 and 807.83

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Solution

The fourth proportional to 3,028.82, 4,542.86 and 807.83 is: 1,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.82 : 4,542.86 = 807.83 : x
  2. Step 2: Convert to fraction form
    3,028.82/4,542.86 = 807.83/x
  3. Step 3: Cross multiply
    3,028.82x = 4,542.86 × 807.83
  4. Step 4: Simplify right side
    3,028.82x = 3,669,831.84
  5. Step 5: Solve for x
    x = 3,669,831.84/3,028.82
  6. Step 6: Final answer
    x = 1,211.64

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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.