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Finding the Fourth Proportional to 2,940.24, 4,057.08 and 1,698

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Solution

The fourth proportional to 2,940.24, 4,057.08 and 1,698 is: 2,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.24 : 4,057.08 = 1,698 : x
  2. Step 2: Convert to fraction form
    2,940.24/4,057.08 = 1,698/x
  3. Step 3: Cross multiply
    2,940.24x = 4,057.08 × 1,698
  4. Step 4: Simplify right side
    2,940.24x = 6,888,921.84
  5. Step 5: Solve for x
    x = 6,888,921.84/2,940.24
  6. Step 6: Final answer
    x = 2,342.98

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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.