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Finding the Fourth Proportional to 2,731.52, 3,768.30 and 1,847

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Solution

The fourth proportional to 2,731.52, 3,768.30 and 1,847 is: 2,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.52 : 3,768.30 = 1,847 : x
  2. Step 2: Convert to fraction form
    2,731.52/3,768.30 = 1,847/x
  3. Step 3: Cross multiply
    2,731.52x = 3,768.30 × 1,847
  4. Step 4: Simplify right side
    2,731.52x = 6,960,050.10
  5. Step 5: Solve for x
    x = 6,960,050.10/2,731.52
  6. Step 6: Final answer
    x = 2,548.05

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