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Finding the Fourth Proportional to 2,151.57, 3,221.26 and 1,369.63

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Solution

The fourth proportional to 2,151.57, 3,221.26 and 1,369.63 is: 2,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.57 : 3,221.26 = 1,369.63 : x
  2. Step 2: Convert to fraction form
    2,151.57/3,221.26 = 1,369.63/x
  3. Step 3: Cross multiply
    2,151.57x = 3,221.26 × 1,369.63
  4. Step 4: Simplify right side
    2,151.57x = 4,411,934.33
  5. Step 5: Solve for x
    x = 4,411,934.33/2,151.57
  6. Step 6: Final answer
    x = 2,050.57

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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.