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Finding the Fourth Proportional to 2,311.81, 3,470.30 and 926.11

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Solution

The fourth proportional to 2,311.81, 3,470.30 and 926.11 is: 1,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.81 : 3,470.30 = 926.11 : x
  2. Step 2: Convert to fraction form
    2,311.81/3,470.30 = 926.11/x
  3. Step 3: Cross multiply
    2,311.81x = 3,470.30 × 926.11
  4. Step 4: Simplify right side
    2,311.81x = 3,213,874.90
  5. Step 5: Solve for x
    x = 3,213,874.90/2,311.81
  6. Step 6: Final answer
    x = 1,390.20

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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.