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Finding the Fourth Proportional to 3,144.96, 4,718.32 and 1,197.32

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Solution

The fourth proportional to 3,144.96, 4,718.32 and 1,197.32 is: 1,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.96 : 4,718.32 = 1,197.32 : x
  2. Step 2: Convert to fraction form
    3,144.96/4,718.32 = 1,197.32/x
  3. Step 3: Cross multiply
    3,144.96x = 4,718.32 × 1,197.32
  4. Step 4: Simplify right side
    3,144.96x = 5,649,312.32
  5. Step 5: Solve for x
    x = 5,649,312.32/3,144.96
  6. Step 6: Final answer
    x = 1,796.31

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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.