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Finding the Fourth Proportional to 2,338.74, 3,506.31 and 1,414.08

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Solution

The fourth proportional to 2,338.74, 3,506.31 and 1,414.08 is: 2,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.74 : 3,506.31 = 1,414.08 : x
  2. Step 2: Convert to fraction form
    2,338.74/3,506.31 = 1,414.08/x
  3. Step 3: Cross multiply
    2,338.74x = 3,506.31 × 1,414.08
  4. Step 4: Simplify right side
    2,338.74x = 4,958,202.84
  5. Step 5: Solve for x
    x = 4,958,202.84/2,338.74
  6. Step 6: Final answer
    x = 2,120.03

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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.