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Finding the Fourth Proportional to 2,265.72, 3,395.30 and 1,224.88

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Solution

The fourth proportional to 2,265.72, 3,395.30 and 1,224.88 is: 1,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.72 : 3,395.30 = 1,224.88 : x
  2. Step 2: Convert to fraction form
    2,265.72/3,395.30 = 1,224.88/x
  3. Step 3: Cross multiply
    2,265.72x = 3,395.30 × 1,224.88
  4. Step 4: Simplify right side
    2,265.72x = 4,158,835.06
  5. Step 5: Solve for x
    x = 4,158,835.06/2,265.72
  6. Step 6: Final answer
    x = 1,835.55

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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.