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Finding the Fourth Proportional to 3,149.77, 4,346.61 and 1,714.09

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Solution

The fourth proportional to 3,149.77, 4,346.61 and 1,714.09 is: 2,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.77 : 4,346.61 = 1,714.09 : x
  2. Step 2: Convert to fraction form
    3,149.77/4,346.61 = 1,714.09/x
  3. Step 3: Cross multiply
    3,149.77x = 4,346.61 × 1,714.09
  4. Step 4: Simplify right side
    3,149.77x = 7,450,480.73
  5. Step 5: Solve for x
    x = 7,450,480.73/3,149.77
  6. Step 6: Final answer
    x = 2,365.40

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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.