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Finding the Fourth Proportional to 2,247.61, 3,102.09 and 1,659.86

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Solution

The fourth proportional to 2,247.61, 3,102.09 and 1,659.86 is: 2,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.61 : 3,102.09 = 1,659.86 : x
  2. Step 2: Convert to fraction form
    2,247.61/3,102.09 = 1,659.86/x
  3. Step 3: Cross multiply
    2,247.61x = 3,102.09 × 1,659.86
  4. Step 4: Simplify right side
    2,247.61x = 5,149,035.11
  5. Step 5: Solve for x
    x = 5,149,035.11/2,247.61
  6. Step 6: Final answer
    x = 2,290.89

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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.