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Finding the Fourth Proportional to 2,380.52, 3,284.84 and 1,385.99

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Solution

The fourth proportional to 2,380.52, 3,284.84 and 1,385.99 is: 1,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.52 : 3,284.84 = 1,385.99 : x
  2. Step 2: Convert to fraction form
    2,380.52/3,284.84 = 1,385.99/x
  3. Step 3: Cross multiply
    2,380.52x = 3,284.84 × 1,385.99
  4. Step 4: Simplify right side
    2,380.52x = 4,552,732.04
  5. Step 5: Solve for x
    x = 4,552,732.04/2,380.52
  6. Step 6: Final answer
    x = 1,912.50

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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.