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Finding the Fourth Proportional to 2,134.71, 3,203.28 and 1,211.31

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Solution

The fourth proportional to 2,134.71, 3,203.28 and 1,211.31 is: 1,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.71 : 3,203.28 = 1,211.31 : x
  2. Step 2: Convert to fraction form
    2,134.71/3,203.28 = 1,211.31/x
  3. Step 3: Cross multiply
    2,134.71x = 3,203.28 × 1,211.31
  4. Step 4: Simplify right side
    2,134.71x = 3,880,165.10
  5. Step 5: Solve for x
    x = 3,880,165.10/2,134.71
  6. Step 6: Final answer
    x = 1,817.65

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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.