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Finding the Fourth Proportional to 3,419.34, 4,719.60 and 2,003.34

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Solution

The fourth proportional to 3,419.34, 4,719.60 and 2,003.34 is: 2,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.34 : 4,719.60 = 2,003.34 : x
  2. Step 2: Convert to fraction form
    3,419.34/4,719.60 = 2,003.34/x
  3. Step 3: Cross multiply
    3,419.34x = 4,719.60 × 2,003.34
  4. Step 4: Simplify right side
    3,419.34x = 9,454,963.46
  5. Step 5: Solve for x
    x = 9,454,963.46/3,419.34
  6. Step 6: Final answer
    x = 2,765.14

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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.