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Finding the Fourth Proportional to 3,097.26, 4,276.20 and 1,920.06

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Solution

The fourth proportional to 3,097.26, 4,276.20 and 1,920.06 is: 2,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.26 : 4,276.20 = 1,920.06 : x
  2. Step 2: Convert to fraction form
    3,097.26/4,276.20 = 1,920.06/x
  3. Step 3: Cross multiply
    3,097.26x = 4,276.20 × 1,920.06
  4. Step 4: Simplify right side
    3,097.26x = 8,210,560.57
  5. Step 5: Solve for x
    x = 8,210,560.57/3,097.26
  6. Step 6: Final answer
    x = 2,650.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.