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Finding the Fourth Proportional to 4,019.72, 6,029.85 and 1,097.78

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Solution

The fourth proportional to 4,019.72, 6,029.85 and 1,097.78 is: 1,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.72 : 6,029.85 = 1,097.78 : x
  2. Step 2: Convert to fraction form
    4,019.72/6,029.85 = 1,097.78/x
  3. Step 3: Cross multiply
    4,019.72x = 6,029.85 × 1,097.78
  4. Step 4: Simplify right side
    4,019.72x = 6,619,448.73
  5. Step 5: Solve for x
    x = 6,619,448.73/4,019.72
  6. Step 6: Final answer
    x = 1,646.74

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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.