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Finding the Fourth Proportional to 2,311.78, 3,188.17 and 1,526.62

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Solution

The fourth proportional to 2,311.78, 3,188.17 and 1,526.62 is: 2,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.78 : 3,188.17 = 1,526.62 : x
  2. Step 2: Convert to fraction form
    2,311.78/3,188.17 = 1,526.62/x
  3. Step 3: Cross multiply
    2,311.78x = 3,188.17 × 1,526.62
  4. Step 4: Simplify right side
    2,311.78x = 4,867,124.09
  5. Step 5: Solve for x
    x = 4,867,124.09/2,311.78
  6. Step 6: Final answer
    x = 2,105.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.