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Finding the Fourth Proportional to 2,641.14, 3,964.14 and 2,022.84

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Solution

The fourth proportional to 2,641.14, 3,964.14 and 2,022.84 is: 3,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.14 : 3,964.14 = 2,022.84 : x
  2. Step 2: Convert to fraction form
    2,641.14/3,964.14 = 2,022.84/x
  3. Step 3: Cross multiply
    2,641.14x = 3,964.14 × 2,022.84
  4. Step 4: Simplify right side
    2,641.14x = 8,018,820.96
  5. Step 5: Solve for x
    x = 8,018,820.96/2,641.14
  6. Step 6: Final answer
    x = 3,036.12

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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.