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Finding the Fourth Proportional to 4,097.26, 6,145.86 and 1,019.26

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Solution

The fourth proportional to 4,097.26, 6,145.86 and 1,019.26 is: 1,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.26 : 6,145.86 = 1,019.26 : x
  2. Step 2: Convert to fraction form
    4,097.26/6,145.86 = 1,019.26/x
  3. Step 3: Cross multiply
    4,097.26x = 6,145.86 × 1,019.26
  4. Step 4: Simplify right side
    4,097.26x = 6,264,229.26
  5. Step 5: Solve for x
    x = 6,264,229.26/4,097.26
  6. Step 6: Final answer
    x = 1,528.88

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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.