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Finding the Fourth Proportional to 2,971.57, 4,454.27 and 1,735.22

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Solution

The fourth proportional to 2,971.57, 4,454.27 and 1,735.22 is: 2,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.57 : 4,454.27 = 1,735.22 : x
  2. Step 2: Convert to fraction form
    2,971.57/4,454.27 = 1,735.22/x
  3. Step 3: Cross multiply
    2,971.57x = 4,454.27 × 1,735.22
  4. Step 4: Simplify right side
    2,971.57x = 7,729,157.12
  5. Step 5: Solve for x
    x = 7,729,157.12/2,971.57
  6. Step 6: Final answer
    x = 2,601.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.