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Finding the Fourth Proportional to 2,665.92, 3,998.94 and 817.08

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Solution

The fourth proportional to 2,665.92, 3,998.94 and 817.08 is: 1,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.92 : 3,998.94 = 817.08 : x
  2. Step 2: Convert to fraction form
    2,665.92/3,998.94 = 817.08/x
  3. Step 3: Cross multiply
    2,665.92x = 3,998.94 × 817.08
  4. Step 4: Simplify right side
    2,665.92x = 3,267,453.90
  5. Step 5: Solve for x
    x = 3,267,453.90/2,665.92
  6. Step 6: Final answer
    x = 1,225.64

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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.