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Finding the Fourth Proportional to 1,993.86, 2,742.39 and 1,600.02

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Solution

The fourth proportional to 1,993.86, 2,742.39 and 1,600.02 is: 2,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.86 : 2,742.39 = 1,600.02 : x
  2. Step 2: Convert to fraction form
    1,993.86/2,742.39 = 1,600.02/x
  3. Step 3: Cross multiply
    1,993.86x = 2,742.39 × 1,600.02
  4. Step 4: Simplify right side
    1,993.86x = 4,387,878.85
  5. Step 5: Solve for x
    x = 4,387,878.85/1,993.86
  6. Step 6: Final answer
    x = 2,200.70

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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.