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Finding the Fourth Proportional to 3,338.96, 4,607.82 and 1,847

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Solution

The fourth proportional to 3,338.96, 4,607.82 and 1,847 is: 2,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.96 : 4,607.82 = 1,847 : x
  2. Step 2: Convert to fraction form
    3,338.96/4,607.82 = 1,847/x
  3. Step 3: Cross multiply
    3,338.96x = 4,607.82 × 1,847
  4. Step 4: Simplify right side
    3,338.96x = 8,510,643.54
  5. Step 5: Solve for x
    x = 8,510,643.54/3,338.96
  6. Step 6: Final answer
    x = 2,548.89

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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.