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Finding the Fourth Proportional to 3,174.37, 4,382.15 and 2,113.90

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Solution

The fourth proportional to 3,174.37, 4,382.15 and 2,113.90 is: 2,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.37 : 4,382.15 = 2,113.90 : x
  2. Step 2: Convert to fraction form
    3,174.37/4,382.15 = 2,113.90/x
  3. Step 3: Cross multiply
    3,174.37x = 4,382.15 × 2,113.90
  4. Step 4: Simplify right side
    3,174.37x = 9,263,426.89
  5. Step 5: Solve for x
    x = 9,263,426.89/3,174.37
  6. Step 6: Final answer
    x = 2,918.19

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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.