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Finding the Fourth Proportional to 2,512.37, 3,761.53 and 1,894.14

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Solution

The fourth proportional to 2,512.37, 3,761.53 and 1,894.14 is: 2,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.37 : 3,761.53 = 1,894.14 : x
  2. Step 2: Convert to fraction form
    2,512.37/3,761.53 = 1,894.14/x
  3. Step 3: Cross multiply
    2,512.37x = 3,761.53 × 1,894.14
  4. Step 4: Simplify right side
    2,512.37x = 7,124,859.70
  5. Step 5: Solve for x
    x = 7,124,859.70/2,512.37
  6. Step 6: Final answer
    x = 2,835.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.