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Finding the Fourth Proportional to 1,318.50, 1,977.74 and 1,238.31

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Solution

The fourth proportional to 1,318.50, 1,977.74 and 1,238.31 is: 1,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.50 : 1,977.74 = 1,238.31 : x
  2. Step 2: Convert to fraction form
    1,318.50/1,977.74 = 1,238.31/x
  3. Step 3: Cross multiply
    1,318.50x = 1,977.74 × 1,238.31
  4. Step 4: Simplify right side
    1,318.50x = 2,449,049.03
  5. Step 5: Solve for x
    x = 2,449,049.03/1,318.50
  6. Step 6: Final answer
    x = 1,857.45

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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.