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Finding the Fourth Proportional to 2,263.72, 3,395.57 and 620.23

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Solution

The fourth proportional to 2,263.72, 3,395.57 and 620.23 is: 930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.72 : 3,395.57 = 620.23 : x
  2. Step 2: Convert to fraction form
    2,263.72/3,395.57 = 620.23/x
  3. Step 3: Cross multiply
    2,263.72x = 3,395.57 × 620.23
  4. Step 4: Simplify right side
    2,263.72x = 2,106,034.38
  5. Step 5: Solve for x
    x = 2,106,034.38/2,263.72
  6. Step 6: Final answer
    x = 930.34

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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.