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Finding the Fourth Proportional to 2,263.76, 3,395.60 and 620.31

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Solution

The fourth proportional to 2,263.76, 3,395.60 and 620.31 is: 930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.76 : 3,395.60 = 620.31 : x
  2. Step 2: Convert to fraction form
    2,263.76/3,395.60 = 620.31/x
  3. Step 3: Cross multiply
    2,263.76x = 3,395.60 × 620.31
  4. Step 4: Simplify right side
    2,263.76x = 2,106,309.21
  5. Step 5: Solve for x
    x = 2,106,309.21/2,263.76
  6. Step 6: Final answer
    x = 930.45

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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.