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Finding the Fourth Proportional to 2,655.09, 3,655.62 and 2,255.94

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Solution

The fourth proportional to 2,655.09, 3,655.62 and 2,255.94 is: 3,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.09 : 3,655.62 = 2,255.94 : x
  2. Step 2: Convert to fraction form
    2,655.09/3,655.62 = 2,255.94/x
  3. Step 3: Cross multiply
    2,655.09x = 3,655.62 × 2,255.94
  4. Step 4: Simplify right side
    2,655.09x = 8,246,859.38
  5. Step 5: Solve for x
    x = 8,246,859.38/2,655.09
  6. Step 6: Final answer
    x = 3,106.06

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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.