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Finding the Fourth Proportional to 2,010.37, 2,774.22 and 1,126

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Solution

The fourth proportional to 2,010.37, 2,774.22 and 1,126 is: 1,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.37 : 2,774.22 = 1,126 : x
  2. Step 2: Convert to fraction form
    2,010.37/2,774.22 = 1,126/x
  3. Step 3: Cross multiply
    2,010.37x = 2,774.22 × 1,126
  4. Step 4: Simplify right side
    2,010.37x = 3,123,771.72
  5. Step 5: Solve for x
    x = 3,123,771.72/2,010.37
  6. Step 6: Final answer
    x = 1,553.83

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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.