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Finding the Fourth Proportional to 2,114.46, 3,155.24 and 1,896.54

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Solution

The fourth proportional to 2,114.46, 3,155.24 and 1,896.54 is: 2,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.46 : 3,155.24 = 1,896.54 : x
  2. Step 2: Convert to fraction form
    2,114.46/3,155.24 = 1,896.54/x
  3. Step 3: Cross multiply
    2,114.46x = 3,155.24 × 1,896.54
  4. Step 4: Simplify right side
    2,114.46x = 5,984,029.39
  5. Step 5: Solve for x
    x = 5,984,029.39/2,114.46
  6. Step 6: Final answer
    x = 2,830.05

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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.