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Finding the Fourth Proportional to 2,246.44, 3,368.44 and 1,207.68

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Solution

The fourth proportional to 2,246.44, 3,368.44 and 1,207.68 is: 1,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.44 : 3,368.44 = 1,207.68 : x
  2. Step 2: Convert to fraction form
    2,246.44/3,368.44 = 1,207.68/x
  3. Step 3: Cross multiply
    2,246.44x = 3,368.44 × 1,207.68
  4. Step 4: Simplify right side
    2,246.44x = 4,067,997.62
  5. Step 5: Solve for x
    x = 4,067,997.62/2,246.44
  6. Step 6: Final answer
    x = 1,810.86

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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.