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Finding the Fourth Proportional to 2,202.18, 3,303.39 and 558.74

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Solution

The fourth proportional to 2,202.18, 3,303.39 and 558.74 is: 838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.18 : 3,303.39 = 558.74 : x
  2. Step 2: Convert to fraction form
    2,202.18/3,303.39 = 558.74/x
  3. Step 3: Cross multiply
    2,202.18x = 3,303.39 × 558.74
  4. Step 4: Simplify right side
    2,202.18x = 1,845,719.61
  5. Step 5: Solve for x
    x = 1,845,719.61/2,202.18
  6. Step 6: Final answer
    x = 838.13

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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.