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Finding the Fourth Proportional to 4,019.33, 6,029 and 1,097.64

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Solution

The fourth proportional to 4,019.33, 6,029 and 1,097.64 is: 1,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.33 : 6,029 = 1,097.64 : x
  2. Step 2: Convert to fraction form
    4,019.33/6,029 = 1,097.64/x
  3. Step 3: Cross multiply
    4,019.33x = 6,029 × 1,097.64
  4. Step 4: Simplify right side
    4,019.33x = 6,617,671.56
  5. Step 5: Solve for x
    x = 6,617,671.56/4,019.33
  6. Step 6: Final answer
    x = 1,646.46

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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.