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Finding the Fourth Proportional to 1,832.72, 2,750.88 and 1,344.38

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Solution

The fourth proportional to 1,832.72, 2,750.88 and 1,344.38 is: 2,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.72 : 2,750.88 = 1,344.38 : x
  2. Step 2: Convert to fraction form
    1,832.72/2,750.88 = 1,344.38/x
  3. Step 3: Cross multiply
    1,832.72x = 2,750.88 × 1,344.38
  4. Step 4: Simplify right side
    1,832.72x = 3,698,228.05
  5. Step 5: Solve for x
    x = 3,698,228.05/1,832.72
  6. Step 6: Final answer
    x = 2,017.89

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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.