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Finding the Fourth Proportional to 2,297.37, 3,173.01 and 1,514.91

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Solution

The fourth proportional to 2,297.37, 3,173.01 and 1,514.91 is: 2,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.37 : 3,173.01 = 1,514.91 : x
  2. Step 2: Convert to fraction form
    2,297.37/3,173.01 = 1,514.91/x
  3. Step 3: Cross multiply
    2,297.37x = 3,173.01 × 1,514.91
  4. Step 4: Simplify right side
    2,297.37x = 4,806,824.58
  5. Step 5: Solve for x
    x = 4,806,824.58/2,297.37
  6. Step 6: Final answer
    x = 2,092.32

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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.