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Finding the Fourth Proportional to 2,297.37, 3,170.37 and 1,365.87

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Solution

The fourth proportional to 2,297.37, 3,170.37 and 1,365.87 is: 1,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.37 : 3,170.37 = 1,365.87 : x
  2. Step 2: Convert to fraction form
    2,297.37/3,170.37 = 1,365.87/x
  3. Step 3: Cross multiply
    2,297.37x = 3,170.37 × 1,365.87
  4. Step 4: Simplify right side
    2,297.37x = 4,330,313.27
  5. Step 5: Solve for x
    x = 4,330,313.27/2,297.37
  6. Step 6: Final answer
    x = 1,884.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.