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Finding the Fourth Proportional to 2,202.44, 3,303.68 and 558.99

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Solution

The fourth proportional to 2,202.44, 3,303.68 and 558.99 is: 838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.44 : 3,303.68 = 558.99 : x
  2. Step 2: Convert to fraction form
    2,202.44/3,303.68 = 558.99/x
  3. Step 3: Cross multiply
    2,202.44x = 3,303.68 × 558.99
  4. Step 4: Simplify right side
    2,202.44x = 1,846,724.08
  5. Step 5: Solve for x
    x = 1,846,724.08/2,202.44
  6. Step 6: Final answer
    x = 838.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.