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Finding the Fourth Proportional to 2,151.57, 2,964.05 and 2,022.38

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Solution

The fourth proportional to 2,151.57, 2,964.05 and 2,022.38 is: 2,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.57 : 2,964.05 = 2,022.38 : x
  2. Step 2: Convert to fraction form
    2,151.57/2,964.05 = 2,022.38/x
  3. Step 3: Cross multiply
    2,151.57x = 2,964.05 × 2,022.38
  4. Step 4: Simplify right side
    2,151.57x = 5,994,420.62
  5. Step 5: Solve for x
    x = 5,994,420.62/2,151.57
  6. Step 6: Final answer
    x = 2,786.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.