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Finding the Fourth Proportional to 2,497.47, 3,745.98 and 2,301.72

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Solution

The fourth proportional to 2,497.47, 3,745.98 and 2,301.72 is: 3,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.47 : 3,745.98 = 2,301.72 : x
  2. Step 2: Convert to fraction form
    2,497.47/3,745.98 = 2,301.72/x
  3. Step 3: Cross multiply
    2,497.47x = 3,745.98 × 2,301.72
  4. Step 4: Simplify right side
    2,497.47x = 8,622,183.04
  5. Step 5: Solve for x
    x = 8,622,183.04/2,497.47
  6. Step 6: Final answer
    x = 3,452.37

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1.5x scale

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.