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Finding the Fourth Proportional to 2,065.38, 2,850.22 and 1,133.88

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Solution

The fourth proportional to 2,065.38, 2,850.22 and 1,133.88 is: 1,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.38 : 2,850.22 = 1,133.88 : x
  2. Step 2: Convert to fraction form
    2,065.38/2,850.22 = 1,133.88/x
  3. Step 3: Cross multiply
    2,065.38x = 2,850.22 × 1,133.88
  4. Step 4: Simplify right side
    2,065.38x = 3,231,807.45
  5. Step 5: Solve for x
    x = 3,231,807.45/2,065.38
  6. Step 6: Final answer
    x = 1,564.75

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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.