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Finding the Fourth Proportional to 2,230.77, 3,344.94 and 931.26

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Solution

The fourth proportional to 2,230.77, 3,344.94 and 931.26 is: 1,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.77 : 3,344.94 = 931.26 : x
  2. Step 2: Convert to fraction form
    2,230.77/3,344.94 = 931.26/x
  3. Step 3: Cross multiply
    2,230.77x = 3,344.94 × 931.26
  4. Step 4: Simplify right side
    2,230.77x = 3,115,008.82
  5. Step 5: Solve for x
    x = 3,115,008.82/2,230.77
  6. Step 6: Final answer
    x = 1,396.38

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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.