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Finding the Fourth Proportional to 3,172.30, 4,378.16 and 1,914.08

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Solution

The fourth proportional to 3,172.30, 4,378.16 and 1,914.08 is: 2,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.30 : 4,378.16 = 1,914.08 : x
  2. Step 2: Convert to fraction form
    3,172.30/4,378.16 = 1,914.08/x
  3. Step 3: Cross multiply
    3,172.30x = 4,378.16 × 1,914.08
  4. Step 4: Simplify right side
    3,172.30x = 8,380,131.39
  5. Step 5: Solve for x
    x = 8,380,131.39/3,172.30
  6. Step 6: Final answer
    x = 2,641.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.