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Finding the Fourth Proportional to 2,652.26, 3,977.72 and 897.22

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Solution

The fourth proportional to 2,652.26, 3,977.72 and 897.22 is: 1,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.26 : 3,977.72 = 897.22 : x
  2. Step 2: Convert to fraction form
    2,652.26/3,977.72 = 897.22/x
  3. Step 3: Cross multiply
    2,652.26x = 3,977.72 × 897.22
  4. Step 4: Simplify right side
    2,652.26x = 3,568,865.56
  5. Step 5: Solve for x
    x = 3,568,865.56/2,652.26
  6. Step 6: Final answer
    x = 1,345.60

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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.