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Finding the Fourth Proportional to 3,304.50, 4,560 and 1,978.23

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Solution

The fourth proportional to 3,304.50, 4,560 and 1,978.23 is: 2,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.50 : 4,560 = 1,978.23 : x
  2. Step 2: Convert to fraction form
    3,304.50/4,560 = 1,978.23/x
  3. Step 3: Cross multiply
    3,304.50x = 4,560 × 1,978.23
  4. Step 4: Simplify right side
    3,304.50x = 9,020,728.80
  5. Step 5: Solve for x
    x = 9,020,728.80/3,304.50
  6. Step 6: Final answer
    x = 2,729.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.