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Finding the Fourth Proportional to 2,202.98, 3,301.59 and 1,228.46

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Solution

The fourth proportional to 2,202.98, 3,301.59 and 1,228.46 is: 1,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.98 : 3,301.59 = 1,228.46 : x
  2. Step 2: Convert to fraction form
    2,202.98/3,301.59 = 1,228.46/x
  3. Step 3: Cross multiply
    2,202.98x = 3,301.59 × 1,228.46
  4. Step 4: Simplify right side
    2,202.98x = 4,055,871.25
  5. Step 5: Solve for x
    x = 4,055,871.25/2,202.98
  6. Step 6: Final answer
    x = 1,841.08

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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.