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Finding the Fourth Proportional to 2,605.34, 3,593.91 and 1,556.78

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Solution

The fourth proportional to 2,605.34, 3,593.91 and 1,556.78 is: 2,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.34 : 3,593.91 = 1,556.78 : x
  2. Step 2: Convert to fraction form
    2,605.34/3,593.91 = 1,556.78/x
  3. Step 3: Cross multiply
    2,605.34x = 3,593.91 × 1,556.78
  4. Step 4: Simplify right side
    2,605.34x = 5,594,927.21
  5. Step 5: Solve for x
    x = 5,594,927.21/2,605.34
  6. Step 6: Final answer
    x = 2,147.48

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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.