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Finding the Fourth Proportional to 3,853.31, 5,779.76 and 1,660.50

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Solution

The fourth proportional to 3,853.31, 5,779.76 and 1,660.50 is: 2,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.31 : 5,779.76 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    3,853.31/5,779.76 = 1,660.50/x
  3. Step 3: Cross multiply
    3,853.31x = 5,779.76 × 1,660.50
  4. Step 4: Simplify right side
    3,853.31x = 9,597,283.18
  5. Step 5: Solve for x
    x = 9,597,283.18/3,853.31
  6. Step 6: Final answer
    x = 2,490.66

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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.