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Finding the Fourth Proportional to 3,109.64, 4,665.06 and 1,378.28

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Solution

The fourth proportional to 3,109.64, 4,665.06 and 1,378.28 is: 2,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.64 : 4,665.06 = 1,378.28 : x
  2. Step 2: Convert to fraction form
    3,109.64/4,665.06 = 1,378.28/x
  3. Step 3: Cross multiply
    3,109.64x = 4,665.06 × 1,378.28
  4. Step 4: Simplify right side
    3,109.64x = 6,429,758.90
  5. Step 5: Solve for x
    x = 6,429,758.90/3,109.64
  6. Step 6: Final answer
    x = 2,067.69

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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.