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Finding the Fourth Proportional to 2,202.02, 3,302.90 and 558.56

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Solution

The fourth proportional to 2,202.02, 3,302.90 and 558.56 is: 837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.02 : 3,302.90 = 558.56 : x
  2. Step 2: Convert to fraction form
    2,202.02/3,302.90 = 558.56/x
  3. Step 3: Cross multiply
    2,202.02x = 3,302.90 × 558.56
  4. Step 4: Simplify right side
    2,202.02x = 1,844,867.82
  5. Step 5: Solve for x
    x = 1,844,867.82/2,202.02
  6. Step 6: Final answer
    x = 837.81

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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.