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Finding the Fourth Proportional to 2,361.20, 3,543.34 and 900.37

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Solution

The fourth proportional to 2,361.20, 3,543.34 and 900.37 is: 1,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.20 : 3,543.34 = 900.37 : x
  2. Step 2: Convert to fraction form
    2,361.20/3,543.34 = 900.37/x
  3. Step 3: Cross multiply
    2,361.20x = 3,543.34 × 900.37
  4. Step 4: Simplify right side
    2,361.20x = 3,190,317.04
  5. Step 5: Solve for x
    x = 3,190,317.04/2,361.20
  6. Step 6: Final answer
    x = 1,351.14

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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.