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Finding the Fourth Proportional to 2,339.49, 3,507.44 and 1,414.83

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Solution

The fourth proportional to 2,339.49, 3,507.44 and 1,414.83 is: 2,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.49 : 3,507.44 = 1,414.83 : x
  2. Step 2: Convert to fraction form
    2,339.49/3,507.44 = 1,414.83/x
  3. Step 3: Cross multiply
    2,339.49x = 3,507.44 × 1,414.83
  4. Step 4: Simplify right side
    2,339.49x = 4,962,424.26
  5. Step 5: Solve for x
    x = 4,962,424.26/2,339.49
  6. Step 6: Final answer
    x = 2,121.16

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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.