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Finding the Fourth Proportional to 2,010.67, 2,774.01 and 1,591.09

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Solution

The fourth proportional to 2,010.67, 2,774.01 and 1,591.09 is: 2,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.67 : 2,774.01 = 1,591.09 : x
  2. Step 2: Convert to fraction form
    2,010.67/2,774.01 = 1,591.09/x
  3. Step 3: Cross multiply
    2,010.67x = 2,774.01 × 1,591.09
  4. Step 4: Simplify right side
    2,010.67x = 4,413,699.57
  5. Step 5: Solve for x
    x = 4,413,699.57/2,010.67
  6. Step 6: Final answer
    x = 2,195.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.