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Finding the Fourth Proportional to 3,282.69, 4,924.02 and 817.51

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Solution

The fourth proportional to 3,282.69, 4,924.02 and 817.51 is: 1,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.69 : 4,924.02 = 817.51 : x
  2. Step 2: Convert to fraction form
    3,282.69/4,924.02 = 817.51/x
  3. Step 3: Cross multiply
    3,282.69x = 4,924.02 × 817.51
  4. Step 4: Simplify right side
    3,282.69x = 4,025,435.59
  5. Step 5: Solve for x
    x = 4,025,435.59/3,282.69
  6. Step 6: Final answer
    x = 1,226.26

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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.