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Finding the Fourth Proportional to 2,500.02, 3,745.05 and 1,512.31

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Solution

The fourth proportional to 2,500.02, 3,745.05 and 1,512.31 is: 2,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.02 : 3,745.05 = 1,512.31 : x
  2. Step 2: Convert to fraction form
    2,500.02/3,745.05 = 1,512.31/x
  3. Step 3: Cross multiply
    2,500.02x = 3,745.05 × 1,512.31
  4. Step 4: Simplify right side
    2,500.02x = 5,663,676.57
  5. Step 5: Solve for x
    x = 5,663,676.57/2,500.02
  6. Step 6: Final answer
    x = 2,265.45

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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.