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Finding the Fourth Proportional to 2,179.90, 3,007.14 and 2,096.02

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Solution

The fourth proportional to 2,179.90, 3,007.14 and 2,096.02 is: 2,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.90 : 3,007.14 = 2,096.02 : x
  2. Step 2: Convert to fraction form
    2,179.90/3,007.14 = 2,096.02/x
  3. Step 3: Cross multiply
    2,179.90x = 3,007.14 × 2,096.02
  4. Step 4: Simplify right side
    2,179.90x = 6,303,025.58
  5. Step 5: Solve for x
    x = 6,303,025.58/2,179.90
  6. Step 6: Final answer
    x = 2,891.43

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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.