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Finding the Fourth Proportional to 2,651.38, 3,659.24 and 1,603.45

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Solution

The fourth proportional to 2,651.38, 3,659.24 and 1,603.45 is: 2,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.38 : 3,659.24 = 1,603.45 : x
  2. Step 2: Convert to fraction form
    2,651.38/3,659.24 = 1,603.45/x
  3. Step 3: Cross multiply
    2,651.38x = 3,659.24 × 1,603.45
  4. Step 4: Simplify right side
    2,651.38x = 5,867,382.06
  5. Step 5: Solve for x
    x = 5,867,382.06/2,651.38
  6. Step 6: Final answer
    x = 2,212.96

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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.