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Finding the Fourth Proportional to 3,003.68, 4,145.07 and 1,677.38

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Solution

The fourth proportional to 3,003.68, 4,145.07 and 1,677.38 is: 2,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.68 : 4,145.07 = 1,677.38 : x
  2. Step 2: Convert to fraction form
    3,003.68/4,145.07 = 1,677.38/x
  3. Step 3: Cross multiply
    3,003.68x = 4,145.07 × 1,677.38
  4. Step 4: Simplify right side
    3,003.68x = 6,952,857.52
  5. Step 5: Solve for x
    x = 6,952,857.52/3,003.68
  6. Step 6: Final answer
    x = 2,314.78

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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.