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Finding the Fourth Proportional to 2,202.96, 3,304.90 and 904.54

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Solution

The fourth proportional to 2,202.96, 3,304.90 and 904.54 is: 1,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.96 : 3,304.90 = 904.54 : x
  2. Step 2: Convert to fraction form
    2,202.96/3,304.90 = 904.54/x
  3. Step 3: Cross multiply
    2,202.96x = 3,304.90 × 904.54
  4. Step 4: Simplify right side
    2,202.96x = 2,989,414.25
  5. Step 5: Solve for x
    x = 2,989,414.25/2,202.96
  6. Step 6: Final answer
    x = 1,357.00

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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.