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Finding the Fourth Proportional to 2,619.16, 3,928.80 and 671.38

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Solution

The fourth proportional to 2,619.16, 3,928.80 and 671.38 is: 1,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.16 : 3,928.80 = 671.38 : x
  2. Step 2: Convert to fraction form
    2,619.16/3,928.80 = 671.38/x
  3. Step 3: Cross multiply
    2,619.16x = 3,928.80 × 671.38
  4. Step 4: Simplify right side
    2,619.16x = 2,637,717.74
  5. Step 5: Solve for x
    x = 2,637,717.74/2,619.16
  6. Step 6: Final answer
    x = 1,007.09

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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.