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Finding the Fourth Proportional to 2,468.37, 3,684.54 and 2,156.97

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Solution

The fourth proportional to 2,468.37, 3,684.54 and 2,156.97 is: 3,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.37 : 3,684.54 = 2,156.97 : x
  2. Step 2: Convert to fraction form
    2,468.37/3,684.54 = 2,156.97/x
  3. Step 3: Cross multiply
    2,468.37x = 3,684.54 × 2,156.97
  4. Step 4: Simplify right side
    2,468.37x = 7,947,442.24
  5. Step 5: Solve for x
    x = 7,947,442.24/2,468.37
  6. Step 6: Final answer
    x = 3,219.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.