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Finding the Fourth Proportional to 4,097.19, 6,145.78 and 1,019.19

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Solution

The fourth proportional to 4,097.19, 6,145.78 and 1,019.19 is: 1,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.19 : 6,145.78 = 1,019.19 : x
  2. Step 2: Convert to fraction form
    4,097.19/6,145.78 = 1,019.19/x
  3. Step 3: Cross multiply
    4,097.19x = 6,145.78 × 1,019.19
  4. Step 4: Simplify right side
    4,097.19x = 6,263,717.52
  5. Step 5: Solve for x
    x = 6,263,717.52/4,097.19
  6. Step 6: Final answer
    x = 1,528.78

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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.