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Finding the Fourth Proportional to 2,324.40, 3,486.56 and 593

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Solution

The fourth proportional to 2,324.40, 3,486.56 and 593 is: 889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.40 : 3,486.56 = 593 : x
  2. Step 2: Convert to fraction form
    2,324.40/3,486.56 = 593/x
  3. Step 3: Cross multiply
    2,324.40x = 3,486.56 × 593
  4. Step 4: Simplify right side
    2,324.40x = 2,067,530.08
  5. Step 5: Solve for x
    x = 2,067,530.08/2,324.40
  6. Step 6: Final answer
    x = 889.49

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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.