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Finding the Fourth Proportional to 3,271.60, 4,906.67 and 931.56

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Solution

The fourth proportional to 3,271.60, 4,906.67 and 931.56 is: 1,397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.60 : 4,906.67 = 931.56 : x
  2. Step 2: Convert to fraction form
    3,271.60/4,906.67 = 931.56/x
  3. Step 3: Cross multiply
    3,271.60x = 4,906.67 × 931.56
  4. Step 4: Simplify right side
    3,271.60x = 4,570,828.31
  5. Step 5: Solve for x
    x = 4,570,828.31/3,271.60
  6. Step 6: Final answer
    x = 1,397.12

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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.