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Finding the Fourth Proportional to 2,202.22, 3,303.34 and 558.77

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Solution

The fourth proportional to 2,202.22, 3,303.34 and 558.77 is: 838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.22 : 3,303.34 = 558.77 : x
  2. Step 2: Convert to fraction form
    2,202.22/3,303.34 = 558.77/x
  3. Step 3: Cross multiply
    2,202.22x = 3,303.34 × 558.77
  4. Step 4: Simplify right side
    2,202.22x = 1,845,787.98
  5. Step 5: Solve for x
    x = 1,845,787.98/2,202.22
  6. Step 6: Final answer
    x = 838.15

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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.