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Finding the Fourth Proportional to 2,908.55, 4,379.20 and 2,564.09

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Solution

The fourth proportional to 2,908.55, 4,379.20 and 2,564.09 is: 3,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.55 : 4,379.20 = 2,564.09 : x
  2. Step 2: Convert to fraction form
    2,908.55/4,379.20 = 2,564.09/x
  3. Step 3: Cross multiply
    2,908.55x = 4,379.20 × 2,564.09
  4. Step 4: Simplify right side
    2,908.55x = 11,228,650.11
  5. Step 5: Solve for x
    x = 11,228,650.11/2,908.55
  6. Step 6: Final answer
    x = 3,860.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.