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Finding the Fourth Proportional to 2,671.39, 4,007.67 and 1,028.71

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Solution

The fourth proportional to 2,671.39, 4,007.67 and 1,028.71 is: 1,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.39 : 4,007.67 = 1,028.71 : x
  2. Step 2: Convert to fraction form
    2,671.39/4,007.67 = 1,028.71/x
  3. Step 3: Cross multiply
    2,671.39x = 4,007.67 × 1,028.71
  4. Step 4: Simplify right side
    2,671.39x = 4,122,705.02
  5. Step 5: Solve for x
    x = 4,122,705.02/2,671.39
  6. Step 6: Final answer
    x = 1,543.28

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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.