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Finding the Fourth Proportional to 2,895.02, 4,342.92 and 1,163.50

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Solution

The fourth proportional to 2,895.02, 4,342.92 and 1,163.50 is: 1,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.02 : 4,342.92 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    2,895.02/4,342.92 = 1,163.50/x
  3. Step 3: Cross multiply
    2,895.02x = 4,342.92 × 1,163.50
  4. Step 4: Simplify right side
    2,895.02x = 5,052,987.42
  5. Step 5: Solve for x
    x = 5,052,987.42/2,895.02
  6. Step 6: Final answer
    x = 1,745.41

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Why These Related Problems?

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