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Finding the Fourth Proportional to 4,019.49, 6,029.24 and 1,097.87

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Solution

The fourth proportional to 4,019.49, 6,029.24 and 1,097.87 is: 1,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.49 : 6,029.24 = 1,097.87 : x
  2. Step 2: Convert to fraction form
    4,019.49/6,029.24 = 1,097.87/x
  3. Step 3: Cross multiply
    4,019.49x = 6,029.24 × 1,097.87
  4. Step 4: Simplify right side
    4,019.49x = 6,619,331.30
  5. Step 5: Solve for x
    x = 6,619,331.30/4,019.49
  6. Step 6: Final answer
    x = 1,646.81

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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.