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Finding the Fourth Proportional to 1,978.60, 2,967.84 and 517.76

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Solution

The fourth proportional to 1,978.60, 2,967.84 and 517.76 is: 776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.60 : 2,967.84 = 517.76 : x
  2. Step 2: Convert to fraction form
    1,978.60/2,967.84 = 517.76/x
  3. Step 3: Cross multiply
    1,978.60x = 2,967.84 × 517.76
  4. Step 4: Simplify right side
    1,978.60x = 1,536,628.84
  5. Step 5: Solve for x
    x = 1,536,628.84/1,978.60
  6. Step 6: Final answer
    x = 776.62

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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.