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Finding the Fourth Proportional to 2,851.56, 4,269.24 and 1,972.08

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Solution

The fourth proportional to 2,851.56, 4,269.24 and 1,972.08 is: 2,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.56 : 4,269.24 = 1,972.08 : x
  2. Step 2: Convert to fraction form
    2,851.56/4,269.24 = 1,972.08/x
  3. Step 3: Cross multiply
    2,851.56x = 4,269.24 × 1,972.08
  4. Step 4: Simplify right side
    2,851.56x = 8,419,282.82
  5. Step 5: Solve for x
    x = 8,419,282.82/2,851.56
  6. Step 6: Final answer
    x = 2,952.52

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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.