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Finding the Fourth Proportional to 2,993.81, 4,131.47 and 1,735.11

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Solution

The fourth proportional to 2,993.81, 4,131.47 and 1,735.11 is: 2,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.81 : 4,131.47 = 1,735.11 : x
  2. Step 2: Convert to fraction form
    2,993.81/4,131.47 = 1,735.11/x
  3. Step 3: Cross multiply
    2,993.81x = 4,131.47 × 1,735.11
  4. Step 4: Simplify right side
    2,993.81x = 7,168,546.24
  5. Step 5: Solve for x
    x = 7,168,546.24/2,993.81
  6. Step 6: Final answer
    x = 2,394.45

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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.