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Finding the Fourth Proportional to 2,202.47, 3,304.27 and 970.12

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Solution

The fourth proportional to 2,202.47, 3,304.27 and 970.12 is: 1,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.47 : 3,304.27 = 970.12 : x
  2. Step 2: Convert to fraction form
    2,202.47/3,304.27 = 970.12/x
  3. Step 3: Cross multiply
    2,202.47x = 3,304.27 × 970.12
  4. Step 4: Simplify right side
    2,202.47x = 3,205,521.89
  5. Step 5: Solve for x
    x = 3,205,521.89/2,202.47
  6. Step 6: Final answer
    x = 1,455.42

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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.