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Finding the Fourth Proportional to 2,617.02, 3,922.74 and 1,157.22

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Solution

The fourth proportional to 2,617.02, 3,922.74 and 1,157.22 is: 1,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.02 : 3,922.74 = 1,157.22 : x
  2. Step 2: Convert to fraction form
    2,617.02/3,922.74 = 1,157.22/x
  3. Step 3: Cross multiply
    2,617.02x = 3,922.74 × 1,157.22
  4. Step 4: Simplify right side
    2,617.02x = 4,539,473.18
  5. Step 5: Solve for x
    x = 4,539,473.18/2,617.02
  6. Step 6: Final answer
    x = 1,734.60

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Why These Related Problems?

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