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Finding the Fourth Proportional to 3,062.96, 4,589.86 and 1,419.04

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Solution

The fourth proportional to 3,062.96, 4,589.86 and 1,419.04 is: 2,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.96 : 4,589.86 = 1,419.04 : x
  2. Step 2: Convert to fraction form
    3,062.96/4,589.86 = 1,419.04/x
  3. Step 3: Cross multiply
    3,062.96x = 4,589.86 × 1,419.04
  4. Step 4: Simplify right side
    3,062.96x = 6,513,194.93
  5. Step 5: Solve for x
    x = 6,513,194.93/3,062.96
  6. Step 6: Final answer
    x = 2,126.44

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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.