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Finding the Fourth Proportional to 2,447.19, 3,379.85 and 1,659.87

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Solution

The fourth proportional to 2,447.19, 3,379.85 and 1,659.87 is: 2,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.19 : 3,379.85 = 1,659.87 : x
  2. Step 2: Convert to fraction form
    2,447.19/3,379.85 = 1,659.87/x
  3. Step 3: Cross multiply
    2,447.19x = 3,379.85 × 1,659.87
  4. Step 4: Simplify right side
    2,447.19x = 5,610,111.62
  5. Step 5: Solve for x
    x = 5,610,111.62/2,447.19
  6. Step 6: Final answer
    x = 2,292.47

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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.