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Finding the Fourth Proportional to 2,888.48, 4,331.82 and 1,847

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Solution

The fourth proportional to 2,888.48, 4,331.82 and 1,847 is: 2,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.48 : 4,331.82 = 1,847 : x
  2. Step 2: Convert to fraction form
    2,888.48/4,331.82 = 1,847/x
  3. Step 3: Cross multiply
    2,888.48x = 4,331.82 × 1,847
  4. Step 4: Simplify right side
    2,888.48x = 8,000,871.54
  5. Step 5: Solve for x
    x = 8,000,871.54/2,888.48
  6. Step 6: Final answer
    x = 2,769.92

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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.