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Finding the Fourth Proportional to 3,271.60, 4,902.24 and 1,952.80

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Solution

The fourth proportional to 3,271.60, 4,902.24 and 1,952.80 is: 2,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.60 : 4,902.24 = 1,952.80 : x
  2. Step 2: Convert to fraction form
    3,271.60/4,902.24 = 1,952.80/x
  3. Step 3: Cross multiply
    3,271.60x = 4,902.24 × 1,952.80
  4. Step 4: Simplify right side
    3,271.60x = 9,573,094.27
  5. Step 5: Solve for x
    x = 9,573,094.27/3,271.60
  6. Step 6: Final answer
    x = 2,926.12

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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.