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Finding the Fourth Proportional to 3,411.72, 4,708.98 and 2,169

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Solution

The fourth proportional to 3,411.72, 4,708.98 and 2,169 is: 2,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.72 : 4,708.98 = 2,169 : x
  2. Step 2: Convert to fraction form
    3,411.72/4,708.98 = 2,169/x
  3. Step 3: Cross multiply
    3,411.72x = 4,708.98 × 2,169
  4. Step 4: Simplify right side
    3,411.72x = 10,213,777.62
  5. Step 5: Solve for x
    x = 10,213,777.62/3,411.72
  6. Step 6: Final answer
    x = 2,993.73

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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.