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Finding the Fourth Proportional to 2,179.75, 3,007.99 and 1,185.01

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Solution

The fourth proportional to 2,179.75, 3,007.99 and 1,185.01 is: 1,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.75 : 3,007.99 = 1,185.01 : x
  2. Step 2: Convert to fraction form
    2,179.75/3,007.99 = 1,185.01/x
  3. Step 3: Cross multiply
    2,179.75x = 3,007.99 × 1,185.01
  4. Step 4: Simplify right side
    2,179.75x = 3,564,498.23
  5. Step 5: Solve for x
    x = 3,564,498.23/2,179.75
  6. Step 6: Final answer
    x = 1,635.28

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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.