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Finding the Fourth Proportional to 2,362.24, 3,543.36 and 900.19

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Solution

The fourth proportional to 2,362.24, 3,543.36 and 900.19 is: 1,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.24 : 3,543.36 = 900.19 : x
  2. Step 2: Convert to fraction form
    2,362.24/3,543.36 = 900.19/x
  3. Step 3: Cross multiply
    2,362.24x = 3,543.36 × 900.19
  4. Step 4: Simplify right side
    2,362.24x = 3,189,697.24
  5. Step 5: Solve for x
    x = 3,189,697.24/2,362.24
  6. Step 6: Final answer
    x = 1,350.29

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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.