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Finding the Fourth Proportional to 1,967.34, 2,951.37 and 813.18

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Solution

The fourth proportional to 1,967.34, 2,951.37 and 813.18 is: 1,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.34 : 2,951.37 = 813.18 : x
  2. Step 2: Convert to fraction form
    1,967.34/2,951.37 = 813.18/x
  3. Step 3: Cross multiply
    1,967.34x = 2,951.37 × 813.18
  4. Step 4: Simplify right side
    1,967.34x = 2,399,995.06
  5. Step 5: Solve for x
    x = 2,399,995.06/1,967.34
  6. Step 6: Final answer
    x = 1,219.92

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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.