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Finding the Fourth Proportional to 1,608.24, 2,219.10 and 900.03

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Solution

The fourth proportional to 1,608.24, 2,219.10 and 900.03 is: 1,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.24 : 2,219.10 = 900.03 : x
  2. Step 2: Convert to fraction form
    1,608.24/2,219.10 = 900.03/x
  3. Step 3: Cross multiply
    1,608.24x = 2,219.10 × 900.03
  4. Step 4: Simplify right side
    1,608.24x = 1,997,256.57
  5. Step 5: Solve for x
    x = 1,997,256.57/1,608.24
  6. Step 6: Final answer
    x = 1,241.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.