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Finding the Fourth Proportional to 2,202.25, 3,298.92 and 1,835.86

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Solution

The fourth proportional to 2,202.25, 3,298.92 and 1,835.86 is: 2,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.25 : 3,298.92 = 1,835.86 : x
  2. Step 2: Convert to fraction form
    2,202.25/3,298.92 = 1,835.86/x
  3. Step 3: Cross multiply
    2,202.25x = 3,298.92 × 1,835.86
  4. Step 4: Simplify right side
    2,202.25x = 6,056,355.27
  5. Step 5: Solve for x
    x = 6,056,355.27/2,202.25
  6. Step 6: Final answer
    x = 2,750.08

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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.