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Finding the Fourth Proportional to 2,297.13, 3,445.46 and 738.26

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Solution

The fourth proportional to 2,297.13, 3,445.46 and 738.26 is: 1,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.13 : 3,445.46 = 738.26 : x
  2. Step 2: Convert to fraction form
    2,297.13/3,445.46 = 738.26/x
  3. Step 3: Cross multiply
    2,297.13x = 3,445.46 × 738.26
  4. Step 4: Simplify right side
    2,297.13x = 2,543,632.46
  5. Step 5: Solve for x
    x = 2,543,632.46/2,297.13
  6. Step 6: Final answer
    x = 1,107.31

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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.