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Finding the Fourth Proportional to 2,851.89, 3,930.47 and 2,064.57

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Solution

The fourth proportional to 2,851.89, 3,930.47 and 2,064.57 is: 2,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.89 : 3,930.47 = 2,064.57 : x
  2. Step 2: Convert to fraction form
    2,851.89/3,930.47 = 2,064.57/x
  3. Step 3: Cross multiply
    2,851.89x = 3,930.47 × 2,064.57
  4. Step 4: Simplify right side
    2,851.89x = 8,114,720.13
  5. Step 5: Solve for x
    x = 8,114,720.13/2,851.89
  6. Step 6: Final answer
    x = 2,845.38

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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.