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Finding the Fourth Proportional to 2,156.09, 2,949.95 and 2,147.99

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Solution

The fourth proportional to 2,156.09, 2,949.95 and 2,147.99 is: 2,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.09 : 2,949.95 = 2,147.99 : x
  2. Step 2: Convert to fraction form
    2,156.09/2,949.95 = 2,147.99/x
  3. Step 3: Cross multiply
    2,156.09x = 2,949.95 × 2,147.99
  4. Step 4: Simplify right side
    2,156.09x = 6,336,453.72
  5. Step 5: Solve for x
    x = 6,336,453.72/2,156.09
  6. Step 6: Final answer
    x = 2,938.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.