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Finding the Fourth Proportional to 3,154.95, 4,354.16 and 1,896.41

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Solution

The fourth proportional to 3,154.95, 4,354.16 and 1,896.41 is: 2,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.95 : 4,354.16 = 1,896.41 : x
  2. Step 2: Convert to fraction form
    3,154.95/4,354.16 = 1,896.41/x
  3. Step 3: Cross multiply
    3,154.95x = 4,354.16 × 1,896.41
  4. Step 4: Simplify right side
    3,154.95x = 8,257,273.97
  5. Step 5: Solve for x
    x = 8,257,273.97/3,154.95
  6. Step 6: Final answer
    x = 2,617.24

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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.