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Finding the Fourth Proportional to 2,265.36, 3,396.12 and 1,224.76

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Solution

The fourth proportional to 2,265.36, 3,396.12 and 1,224.76 is: 1,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.36 : 3,396.12 = 1,224.76 : x
  2. Step 2: Convert to fraction form
    2,265.36/3,396.12 = 1,224.76/x
  3. Step 3: Cross multiply
    2,265.36x = 3,396.12 × 1,224.76
  4. Step 4: Simplify right side
    2,265.36x = 4,159,431.93
  5. Step 5: Solve for x
    x = 4,159,431.93/2,265.36
  6. Step 6: Final answer
    x = 1,836.10

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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.