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Finding the Fourth Proportional to 2,438.75, 3,365.22 and 1,376.43

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Solution

The fourth proportional to 2,438.75, 3,365.22 and 1,376.43 is: 1,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.75 : 3,365.22 = 1,376.43 : x
  2. Step 2: Convert to fraction form
    2,438.75/3,365.22 = 1,376.43/x
  3. Step 3: Cross multiply
    2,438.75x = 3,365.22 × 1,376.43
  4. Step 4: Simplify right side
    2,438.75x = 4,631,982.31
  5. Step 5: Solve for x
    x = 4,631,982.31/2,438.75
  6. Step 6: Final answer
    x = 1,899.32

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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.