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Finding the Fourth Proportional to 1,978.17, 2,967 and 517.44

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Solution

The fourth proportional to 1,978.17, 2,967 and 517.44 is: 776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.17 : 2,967 = 517.44 : x
  2. Step 2: Convert to fraction form
    1,978.17/2,967 = 517.44/x
  3. Step 3: Cross multiply
    1,978.17x = 2,967 × 517.44
  4. Step 4: Simplify right side
    1,978.17x = 1,535,244.48
  5. Step 5: Solve for x
    x = 1,535,244.48/1,978.17
  6. Step 6: Final answer
    x = 776.09

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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.