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Finding the Fourth Proportional to 1,967.45, 2,951.21 and 580.82

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Solution

The fourth proportional to 1,967.45, 2,951.21 and 580.82 is: 871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.45 : 2,951.21 = 580.82 : x
  2. Step 2: Convert to fraction form
    1,967.45/2,951.21 = 580.82/x
  3. Step 3: Cross multiply
    1,967.45x = 2,951.21 × 580.82
  4. Step 4: Simplify right side
    1,967.45x = 1,714,118.89
  5. Step 5: Solve for x
    x = 1,714,118.89/1,967.45
  6. Step 6: Final answer
    x = 871.24

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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.