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Finding the Fourth Proportional to 2,778.93, 3,835.01 and 1,599.98

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Solution

The fourth proportional to 2,778.93, 3,835.01 and 1,599.98 is: 2,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.93 : 3,835.01 = 1,599.98 : x
  2. Step 2: Convert to fraction form
    2,778.93/3,835.01 = 1,599.98/x
  3. Step 3: Cross multiply
    2,778.93x = 3,835.01 × 1,599.98
  4. Step 4: Simplify right side
    2,778.93x = 6,135,924.12
  5. Step 5: Solve for x
    x = 6,135,924.12/2,778.93
  6. Step 6: Final answer
    x = 2,208.02

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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.