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Finding the Fourth Proportional to 2,088.20, 2,896.07 and 1,992.20

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Solution

The fourth proportional to 2,088.20, 2,896.07 and 1,992.20 is: 2,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.20 : 2,896.07 = 1,992.20 : x
  2. Step 2: Convert to fraction form
    2,088.20/2,896.07 = 1,992.20/x
  3. Step 3: Cross multiply
    2,088.20x = 2,896.07 × 1,992.20
  4. Step 4: Simplify right side
    2,088.20x = 5,769,550.65
  5. Step 5: Solve for x
    x = 5,769,550.65/2,088.20
  6. Step 6: Final answer
    x = 2,762.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.