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Finding the Fourth Proportional to 3,271.52, 4,906.82 and 931.70

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Solution

The fourth proportional to 3,271.52, 4,906.82 and 931.70 is: 1,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.52 : 4,906.82 = 931.70 : x
  2. Step 2: Convert to fraction form
    3,271.52/4,906.82 = 931.70/x
  3. Step 3: Cross multiply
    3,271.52x = 4,906.82 × 931.70
  4. Step 4: Simplify right side
    3,271.52x = 4,571,684.19
  5. Step 5: Solve for x
    x = 4,571,684.19/3,271.52
  6. Step 6: Final answer
    x = 1,397.42

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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.