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Finding the Fourth Proportional to 2,202.89, 3,304.65 and 643.03

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Solution

The fourth proportional to 2,202.89, 3,304.65 and 643.03 is: 964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.89 : 3,304.65 = 643.03 : x
  2. Step 2: Convert to fraction form
    2,202.89/3,304.65 = 643.03/x
  3. Step 3: Cross multiply
    2,202.89x = 3,304.65 × 643.03
  4. Step 4: Simplify right side
    2,202.89x = 2,124,985.43
  5. Step 5: Solve for x
    x = 2,124,985.43/2,202.89
  6. Step 6: Final answer
    x = 964.64

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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.