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Finding the Fourth Proportional to 3,173.04, 4,377.42 and 1,914.06

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Solution

The fourth proportional to 3,173.04, 4,377.42 and 1,914.06 is: 2,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.04 : 4,377.42 = 1,914.06 : x
  2. Step 2: Convert to fraction form
    3,173.04/4,377.42 = 1,914.06/x
  3. Step 3: Cross multiply
    3,173.04x = 4,377.42 × 1,914.06
  4. Step 4: Simplify right side
    3,173.04x = 8,378,644.53
  5. Step 5: Solve for x
    x = 8,378,644.53/3,173.04
  6. Step 6: Final answer
    x = 2,640.57

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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.