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Finding the Fourth Proportional to 3,419.67, 4,718.63 and 2,003.13

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Solution

The fourth proportional to 3,419.67, 4,718.63 and 2,003.13 is: 2,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.67 : 4,718.63 = 2,003.13 : x
  2. Step 2: Convert to fraction form
    3,419.67/4,718.63 = 2,003.13/x
  3. Step 3: Cross multiply
    3,419.67x = 4,718.63 × 2,003.13
  4. Step 4: Simplify right side
    3,419.67x = 9,452,019.30
  5. Step 5: Solve for x
    x = 9,452,019.30/3,419.67
  6. Step 6: Final answer
    x = 2,764.02

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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.