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Finding the Fourth Proportional to 1,311.21, 1,969.02 and 1,252.71

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Solution

The fourth proportional to 1,311.21, 1,969.02 and 1,252.71 is: 1,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.21 : 1,969.02 = 1,252.71 : x
  2. Step 2: Convert to fraction form
    1,311.21/1,969.02 = 1,252.71/x
  3. Step 3: Cross multiply
    1,311.21x = 1,969.02 × 1,252.71
  4. Step 4: Simplify right side
    1,311.21x = 2,466,611.04
  5. Step 5: Solve for x
    x = 2,466,611.04/1,311.21
  6. Step 6: Final answer
    x = 1,881.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.