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Finding the Fourth Proportional to 2,010.96, 2,775.28 and 1,160.37

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Solution

The fourth proportional to 2,010.96, 2,775.28 and 1,160.37 is: 1,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.96 : 2,775.28 = 1,160.37 : x
  2. Step 2: Convert to fraction form
    2,010.96/2,775.28 = 1,160.37/x
  3. Step 3: Cross multiply
    2,010.96x = 2,775.28 × 1,160.37
  4. Step 4: Simplify right side
    2,010.96x = 3,220,348.02
  5. Step 5: Solve for x
    x = 3,220,348.02/2,010.96
  6. Step 6: Final answer
    x = 1,601.39

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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.