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Finding the Fourth Proportional to 2,071.05, 3,107.34 and 961.01

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Solution

The fourth proportional to 2,071.05, 3,107.34 and 961.01 is: 1,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.05 : 3,107.34 = 961.01 : x
  2. Step 2: Convert to fraction form
    2,071.05/3,107.34 = 961.01/x
  3. Step 3: Cross multiply
    2,071.05x = 3,107.34 × 961.01
  4. Step 4: Simplify right side
    2,071.05x = 2,986,169.28
  5. Step 5: Solve for x
    x = 2,986,169.28/2,071.05
  6. Step 6: Final answer
    x = 1,441.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.