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Finding the Fourth Proportional to 1,976.75, 2,965.13 and 678.32

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Solution

The fourth proportional to 1,976.75, 2,965.13 and 678.32 is: 1,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.75 : 2,965.13 = 678.32 : x
  2. Step 2: Convert to fraction form
    1,976.75/2,965.13 = 678.32/x
  3. Step 3: Cross multiply
    1,976.75x = 2,965.13 × 678.32
  4. Step 4: Simplify right side
    1,976.75x = 2,011,306.98
  5. Step 5: Solve for x
    x = 2,011,306.98/1,976.75
  6. Step 6: Final answer
    x = 1,017.48

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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.