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Finding the Fourth Proportional to 4,164.62, 6,246.03 and 1,698.80

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Solution

The fourth proportional to 4,164.62, 6,246.03 and 1,698.80 is: 2,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.62 : 6,246.03 = 1,698.80 : x
  2. Step 2: Convert to fraction form
    4,164.62/6,246.03 = 1,698.80/x
  3. Step 3: Cross multiply
    4,164.62x = 6,246.03 × 1,698.80
  4. Step 4: Simplify right side
    4,164.62x = 10,610,755.76
  5. Step 5: Solve for x
    x = 10,610,755.76/4,164.62
  6. Step 6: Final answer
    x = 2,547.83

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