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Finding the Fourth Proportional to 2,202.06, 3,304.98 and 904.44

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Solution

The fourth proportional to 2,202.06, 3,304.98 and 904.44 is: 1,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.06 : 3,304.98 = 904.44 : x
  2. Step 2: Convert to fraction form
    2,202.06/3,304.98 = 904.44/x
  3. Step 3: Cross multiply
    2,202.06x = 3,304.98 × 904.44
  4. Step 4: Simplify right side
    2,202.06x = 2,989,156.11
  5. Step 5: Solve for x
    x = 2,989,156.11/2,202.06
  6. Step 6: Final answer
    x = 1,357.44

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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.