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Finding the Fourth Proportional to 2,940.75, 4,058.60 and 1,698.75

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Solution

The fourth proportional to 2,940.75, 4,058.60 and 1,698.75 is: 2,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.75 : 4,058.60 = 1,698.75 : x
  2. Step 2: Convert to fraction form
    2,940.75/4,058.60 = 1,698.75/x
  3. Step 3: Cross multiply
    2,940.75x = 4,058.60 × 1,698.75
  4. Step 4: Simplify right side
    2,940.75x = 6,894,538.26
  5. Step 5: Solve for x
    x = 6,894,538.26/2,940.75
  6. Step 6: Final answer
    x = 2,344.48

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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.