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Finding the Fourth Proportional to 2,718.08, 4,078.20 and 1,419.20

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Solution

The fourth proportional to 2,718.08, 4,078.20 and 1,419.20 is: 2,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.08 : 4,078.20 = 1,419.20 : x
  2. Step 2: Convert to fraction form
    2,718.08/4,078.20 = 1,419.20/x
  3. Step 3: Cross multiply
    2,718.08x = 4,078.20 × 1,419.20
  4. Step 4: Simplify right side
    2,718.08x = 5,787,781.44
  5. Step 5: Solve for x
    x = 5,787,781.44/2,718.08
  6. Step 6: Final answer
    x = 2,129.36

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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.