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Finding the Fourth Proportional to 3,419.54, 4,719 and 2,002.92

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Solution

The fourth proportional to 3,419.54, 4,719 and 2,002.92 is: 2,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.54 : 4,719 = 2,002.92 : x
  2. Step 2: Convert to fraction form
    3,419.54/4,719 = 2,002.92/x
  3. Step 3: Cross multiply
    3,419.54x = 4,719 × 2,002.92
  4. Step 4: Simplify right side
    3,419.54x = 9,451,779.48
  5. Step 5: Solve for x
    x = 9,451,779.48/3,419.54
  6. Step 6: Final answer
    x = 2,764.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.