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Finding the Fourth Proportional to 1,978.49, 2,967.90 and 517.64

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Solution

The fourth proportional to 1,978.49, 2,967.90 and 517.64 is: 776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.49 : 2,967.90 = 517.64 : x
  2. Step 2: Convert to fraction form
    1,978.49/2,967.90 = 517.64/x
  3. Step 3: Cross multiply
    1,978.49x = 2,967.90 × 517.64
  4. Step 4: Simplify right side
    1,978.49x = 1,536,307.31
  5. Step 5: Solve for x
    x = 1,536,307.31/1,978.49
  6. Step 6: Final answer
    x = 776.51

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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.