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Finding the Fourth Proportional to 1,967.52, 2,951.76 and 580.89

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Solution

The fourth proportional to 1,967.52, 2,951.76 and 580.89 is: 871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.52 : 2,951.76 = 580.89 : x
  2. Step 2: Convert to fraction form
    1,967.52/2,951.76 = 580.89/x
  3. Step 3: Cross multiply
    1,967.52x = 2,951.76 × 580.89
  4. Step 4: Simplify right side
    1,967.52x = 1,714,647.87
  5. Step 5: Solve for x
    x = 1,714,647.87/1,967.52
  6. Step 6: Final answer
    x = 871.48

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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.