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Finding the Fourth Proportional to 2,131.88, 3,178.69 and 2,093

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Solution

The fourth proportional to 2,131.88, 3,178.69 and 2,093 is: 3,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.88 : 3,178.69 = 2,093 : x
  2. Step 2: Convert to fraction form
    2,131.88/3,178.69 = 2,093/x
  3. Step 3: Cross multiply
    2,131.88x = 3,178.69 × 2,093
  4. Step 4: Simplify right side
    2,131.88x = 6,652,998.17
  5. Step 5: Solve for x
    x = 6,652,998.17/2,131.88
  6. Step 6: Final answer
    x = 3,120.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.