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Finding the Fourth Proportional to 3,409.20, 4,704.66 and 1,917

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Solution

The fourth proportional to 3,409.20, 4,704.66 and 1,917 is: 2,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.20 : 4,704.66 = 1,917 : x
  2. Step 2: Convert to fraction form
    3,409.20/4,704.66 = 1,917/x
  3. Step 3: Cross multiply
    3,409.20x = 4,704.66 × 1,917
  4. Step 4: Simplify right side
    3,409.20x = 9,018,833.22
  5. Step 5: Solve for x
    x = 9,018,833.22/3,409.20
  6. Step 6: Final answer
    x = 2,645.44

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Why These Related Problems?

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