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Finding the Fourth Proportional to 2,677.74, 4,019.22 and 1,447.77

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Solution

The fourth proportional to 2,677.74, 4,019.22 and 1,447.77 is: 2,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.74 : 4,019.22 = 1,447.77 : x
  2. Step 2: Convert to fraction form
    2,677.74/4,019.22 = 1,447.77/x
  3. Step 3: Cross multiply
    2,677.74x = 4,019.22 × 1,447.77
  4. Step 4: Simplify right side
    2,677.74x = 5,818,906.14
  5. Step 5: Solve for x
    x = 5,818,906.14/2,677.74
  6. Step 6: Final answer
    x = 2,173.07

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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.