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Finding the Fourth Proportional to 1,978.32, 2,967.68 and 517.49

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Solution

The fourth proportional to 1,978.32, 2,967.68 and 517.49 is: 776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.32 : 2,967.68 = 517.49 : x
  2. Step 2: Convert to fraction form
    1,978.32/2,967.68 = 517.49/x
  3. Step 3: Cross multiply
    1,978.32x = 2,967.68 × 517.49
  4. Step 4: Simplify right side
    1,978.32x = 1,535,729.88
  5. Step 5: Solve for x
    x = 1,535,729.88/1,978.32
  6. Step 6: Final answer
    x = 776.28

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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.