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Finding the Fourth Proportional to 2,500.86, 3,745.52 and 1,525.22

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Solution

The fourth proportional to 2,500.86, 3,745.52 and 1,525.22 is: 2,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.86 : 3,745.52 = 1,525.22 : x
  2. Step 2: Convert to fraction form
    2,500.86/3,745.52 = 1,525.22/x
  3. Step 3: Cross multiply
    2,500.86x = 3,745.52 × 1,525.22
  4. Step 4: Simplify right side
    2,500.86x = 5,712,742.01
  5. Step 5: Solve for x
    x = 5,712,742.01/2,500.86
  6. Step 6: Final answer
    x = 2,284.31

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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.