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Finding the Fourth Proportional to 2,010.66, 3,016.26 and 1,189.86

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Solution

The fourth proportional to 2,010.66, 3,016.26 and 1,189.86 is: 1,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.66 : 3,016.26 = 1,189.86 : x
  2. Step 2: Convert to fraction form
    2,010.66/3,016.26 = 1,189.86/x
  3. Step 3: Cross multiply
    2,010.66x = 3,016.26 × 1,189.86
  4. Step 4: Simplify right side
    2,010.66x = 3,588,927.12
  5. Step 5: Solve for x
    x = 3,588,927.12/2,010.66
  6. Step 6: Final answer
    x = 1,784.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.