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Finding the Fourth Proportional to 2,779.93, 3,836.39 and 1,600.98

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Solution

The fourth proportional to 2,779.93, 3,836.39 and 1,600.98 is: 2,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.93 : 3,836.39 = 1,600.98 : x
  2. Step 2: Convert to fraction form
    2,779.93/3,836.39 = 1,600.98/x
  3. Step 3: Cross multiply
    2,779.93x = 3,836.39 × 1,600.98
  4. Step 4: Simplify right side
    2,779.93x = 6,141,983.66
  5. Step 5: Solve for x
    x = 6,141,983.66/2,779.93
  6. Step 6: Final answer
    x = 2,209.40

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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.