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Finding the Fourth Proportional to 3,271.74, 4,902.17 and 1,970.54

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Solution

The fourth proportional to 3,271.74, 4,902.17 and 1,970.54 is: 2,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.74 : 4,902.17 = 1,970.54 : x
  2. Step 2: Convert to fraction form
    3,271.74/4,902.17 = 1,970.54/x
  3. Step 3: Cross multiply
    3,271.74x = 4,902.17 × 1,970.54
  4. Step 4: Simplify right side
    3,271.74x = 9,659,922.07
  5. Step 5: Solve for x
    x = 9,659,922.07/3,271.74
  6. Step 6: Final answer
    x = 2,952.53

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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.