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Finding the Fourth Proportional to 1,976.80, 2,965.24 and 678.24

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Solution

The fourth proportional to 1,976.80, 2,965.24 and 678.24 is: 1,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.80 : 2,965.24 = 678.24 : x
  2. Step 2: Convert to fraction form
    1,976.80/2,965.24 = 678.24/x
  3. Step 3: Cross multiply
    1,976.80x = 2,965.24 × 678.24
  4. Step 4: Simplify right side
    1,976.80x = 2,011,144.38
  5. Step 5: Solve for x
    x = 2,011,144.38/1,976.80
  6. Step 6: Final answer
    x = 1,017.37

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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.