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Finding the Fourth Proportional to 3,182.53, 4,391.13 and 1,855.48

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Solution

The fourth proportional to 3,182.53, 4,391.13 and 1,855.48 is: 2,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.53 : 4,391.13 = 1,855.48 : x
  2. Step 2: Convert to fraction form
    3,182.53/4,391.13 = 1,855.48/x
  3. Step 3: Cross multiply
    3,182.53x = 4,391.13 × 1,855.48
  4. Step 4: Simplify right side
    3,182.53x = 8,147,653.89
  5. Step 5: Solve for x
    x = 8,147,653.89/3,182.53
  6. Step 6: Final answer
    x = 2,560.12

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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.