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Finding the Fourth Proportional to 2,067.55, 3,096.31 and 972.23

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Solution

The fourth proportional to 2,067.55, 3,096.31 and 972.23 is: 1,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.55 : 3,096.31 = 972.23 : x
  2. Step 2: Convert to fraction form
    2,067.55/3,096.31 = 972.23/x
  3. Step 3: Cross multiply
    2,067.55x = 3,096.31 × 972.23
  4. Step 4: Simplify right side
    2,067.55x = 3,010,307.56
  5. Step 5: Solve for x
    x = 3,010,307.56/2,067.55
  6. Step 6: Final answer
    x = 1,455.98

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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.