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Finding the Fourth Proportional to 2,069, 3,103.90 and 914.76

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Solution

The fourth proportional to 2,069, 3,103.90 and 914.76 is: 1,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069 : 3,103.90 = 914.76 : x
  2. Step 2: Convert to fraction form
    2,069/3,103.90 = 914.76/x
  3. Step 3: Cross multiply
    2,069x = 3,103.90 × 914.76
  4. Step 4: Simplify right side
    2,069x = 2,839,323.56
  5. Step 5: Solve for x
    x = 2,839,323.56/2,069
  6. Step 6: Final answer
    x = 1,372.32

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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.