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Finding the Fourth Proportional to 2,499.57, 3,447.86 and 2,003.39

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Solution

The fourth proportional to 2,499.57, 3,447.86 and 2,003.39 is: 2,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.57 : 3,447.86 = 2,003.39 : x
  2. Step 2: Convert to fraction form
    2,499.57/3,447.86 = 2,003.39/x
  3. Step 3: Cross multiply
    2,499.57x = 3,447.86 × 2,003.39
  4. Step 4: Simplify right side
    2,499.57x = 6,907,421.87
  5. Step 5: Solve for x
    x = 6,907,421.87/2,499.57
  6. Step 6: Final answer
    x = 2,763.44

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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.