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Finding the Fourth Proportional to 2,202.48, 3,035.52 and 1,735.92

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Solution

The fourth proportional to 2,202.48, 3,035.52 and 1,735.92 is: 2,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.48 : 3,035.52 = 1,735.92 : x
  2. Step 2: Convert to fraction form
    2,202.48/3,035.52 = 1,735.92/x
  3. Step 3: Cross multiply
    2,202.48x = 3,035.52 × 1,735.92
  4. Step 4: Simplify right side
    2,202.48x = 5,269,419.88
  5. Step 5: Solve for x
    x = 5,269,419.88/2,202.48
  6. Step 6: Final answer
    x = 2,392.49

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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.