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Finding the Fourth Proportional to 2,119.09, 3,166.09 and 2,046.41

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Solution

The fourth proportional to 2,119.09, 3,166.09 and 2,046.41 is: 3,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.09 : 3,166.09 = 2,046.41 : x
  2. Step 2: Convert to fraction form
    2,119.09/3,166.09 = 2,046.41/x
  3. Step 3: Cross multiply
    2,119.09x = 3,166.09 × 2,046.41
  4. Step 4: Simplify right side
    2,119.09x = 6,479,118.24
  5. Step 5: Solve for x
    x = 6,479,118.24/2,119.09
  6. Step 6: Final answer
    x = 3,057.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.