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Finding the Fourth Proportional to 2,278.96, 3,419.40 and 1,354.96

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Solution

The fourth proportional to 2,278.96, 3,419.40 and 1,354.96 is: 2,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.96 : 3,419.40 = 1,354.96 : x
  2. Step 2: Convert to fraction form
    2,278.96/3,419.40 = 1,354.96/x
  3. Step 3: Cross multiply
    2,278.96x = 3,419.40 × 1,354.96
  4. Step 4: Simplify right side
    2,278.96x = 4,633,150.22
  5. Step 5: Solve for x
    x = 4,633,150.22/2,278.96
  6. Step 6: Final answer
    x = 2,033.01

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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.