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Finding the Fourth Proportional to 2,311.71, 3,461.38 and 1,213.77

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Solution

The fourth proportional to 2,311.71, 3,461.38 and 1,213.77 is: 1,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.71 : 3,461.38 = 1,213.77 : x
  2. Step 2: Convert to fraction form
    2,311.71/3,461.38 = 1,213.77/x
  3. Step 3: Cross multiply
    2,311.71x = 3,461.38 × 1,213.77
  4. Step 4: Simplify right side
    2,311.71x = 4,201,319.20
  5. Step 5: Solve for x
    x = 4,201,319.20/2,311.71
  6. Step 6: Final answer
    x = 1,817.41

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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.