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Finding the Fourth Proportional to 2,338.71, 3,506.30 and 1,414.07

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Solution

The fourth proportional to 2,338.71, 3,506.30 and 1,414.07 is: 2,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.71 : 3,506.30 = 1,414.07 : x
  2. Step 2: Convert to fraction form
    2,338.71/3,506.30 = 1,414.07/x
  3. Step 3: Cross multiply
    2,338.71x = 3,506.30 × 1,414.07
  4. Step 4: Simplify right side
    2,338.71x = 4,958,175.17
  5. Step 5: Solve for x
    x = 4,958,175.17/2,338.71
  6. Step 6: Final answer
    x = 2,120.05

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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.