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Finding the Fourth Proportional to 2,600.10, 3,556.31 and 2,561.22

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Solution

The fourth proportional to 2,600.10, 3,556.31 and 2,561.22 is: 3,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.10 : 3,556.31 = 2,561.22 : x
  2. Step 2: Convert to fraction form
    2,600.10/3,556.31 = 2,561.22/x
  3. Step 3: Cross multiply
    2,600.10x = 3,556.31 × 2,561.22
  4. Step 4: Simplify right side
    2,600.10x = 9,108,479.49
  5. Step 5: Solve for x
    x = 9,108,479.49/2,600.10
  6. Step 6: Final answer
    x = 3,503.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.