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Finding the Fourth Proportional to 2,846.84, 4,268.10 and 2,363

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Solution

The fourth proportional to 2,846.84, 4,268.10 and 2,363 is: 3,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.84 : 4,268.10 = 2,363 : x
  2. Step 2: Convert to fraction form
    2,846.84/4,268.10 = 2,363/x
  3. Step 3: Cross multiply
    2,846.84x = 4,268.10 × 2,363
  4. Step 4: Simplify right side
    2,846.84x = 10,085,520.30
  5. Step 5: Solve for x
    x = 10,085,520.30/2,846.84
  6. Step 6: Final answer
    x = 3,542.71

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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.