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Finding the Fourth Proportional to 3,172.98, 4,378.01 and 1,914.24

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Solution

The fourth proportional to 3,172.98, 4,378.01 and 1,914.24 is: 2,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.98 : 4,378.01 = 1,914.24 : x
  2. Step 2: Convert to fraction form
    3,172.98/4,378.01 = 1,914.24/x
  3. Step 3: Cross multiply
    3,172.98x = 4,378.01 × 1,914.24
  4. Step 4: Simplify right side
    3,172.98x = 8,380,552.29
  5. Step 5: Solve for x
    x = 8,380,552.29/3,172.98
  6. Step 6: Final answer
    x = 2,641.22

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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.