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Finding the Fourth Proportional to 2,203.75, 3,039.75 and 1,540.36

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Solution

The fourth proportional to 2,203.75, 3,039.75 and 1,540.36 is: 2,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.75 : 3,039.75 = 1,540.36 : x
  2. Step 2: Convert to fraction form
    2,203.75/3,039.75 = 1,540.36/x
  3. Step 3: Cross multiply
    2,203.75x = 3,039.75 × 1,540.36
  4. Step 4: Simplify right side
    2,203.75x = 4,682,309.31
  5. Step 5: Solve for x
    x = 4,682,309.31/2,203.75
  6. Step 6: Final answer
    x = 2,124.70

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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.