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Finding the Fourth Proportional to 4,164.66, 6,246.88 and 1,698.82

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Solution

The fourth proportional to 4,164.66, 6,246.88 and 1,698.82 is: 2,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.66 : 6,246.88 = 1,698.82 : x
  2. Step 2: Convert to fraction form
    4,164.66/6,246.88 = 1,698.82/x
  3. Step 3: Cross multiply
    4,164.66x = 6,246.88 × 1,698.82
  4. Step 4: Simplify right side
    4,164.66x = 10,612,324.68
  5. Step 5: Solve for x
    x = 10,612,324.68/4,164.66
  6. Step 6: Final answer
    x = 2,548.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.