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Finding the Fourth Proportional to 3,419.08, 4,719.50 and 2,003.22

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Solution

The fourth proportional to 3,419.08, 4,719.50 and 2,003.22 is: 2,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.08 : 4,719.50 = 2,003.22 : x
  2. Step 2: Convert to fraction form
    3,419.08/4,719.50 = 2,003.22/x
  3. Step 3: Cross multiply
    3,419.08x = 4,719.50 × 2,003.22
  4. Step 4: Simplify right side
    3,419.08x = 9,454,194.29
  5. Step 5: Solve for x
    x = 9,454,194.29/3,419.08
  6. Step 6: Final answer
    x = 2,765.13

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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.