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Finding the Fourth Proportional to 2,994.30, 4,132.22 and 1,735.41

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Solution

The fourth proportional to 2,994.30, 4,132.22 and 1,735.41 is: 2,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.30 : 4,132.22 = 1,735.41 : x
  2. Step 2: Convert to fraction form
    2,994.30/4,132.22 = 1,735.41/x
  3. Step 3: Cross multiply
    2,994.30x = 4,132.22 × 1,735.41
  4. Step 4: Simplify right side
    2,994.30x = 7,171,087.23
  5. Step 5: Solve for x
    x = 7,171,087.23/2,994.30
  6. Step 6: Final answer
    x = 2,394.91

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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.