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Finding the Fourth Proportional to 2,231.38, 3,347.07 and 931.33

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Solution

The fourth proportional to 2,231.38, 3,347.07 and 931.33 is: 1,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.38 : 3,347.07 = 931.33 : x
  2. Step 2: Convert to fraction form
    2,231.38/3,347.07 = 931.33/x
  3. Step 3: Cross multiply
    2,231.38x = 3,347.07 × 931.33
  4. Step 4: Simplify right side
    2,231.38x = 3,117,226.70
  5. Step 5: Solve for x
    x = 3,117,226.70/2,231.38
  6. Step 6: Final answer
    x = 1,397.00

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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.