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Finding the Fourth Proportional to 3,304, 4,559.52 and 1,832

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Solution

The fourth proportional to 3,304, 4,559.52 and 1,832 is: 2,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304 : 4,559.52 = 1,832 : x
  2. Step 2: Convert to fraction form
    3,304/4,559.52 = 1,832/x
  3. Step 3: Cross multiply
    3,304x = 4,559.52 × 1,832
  4. Step 4: Simplify right side
    3,304x = 8,353,040.64
  5. Step 5: Solve for x
    x = 8,353,040.64/3,304
  6. Step 6: Final answer
    x = 2,528.16

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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.