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Finding the Fourth Proportional to 2,757, 3,806.58 and 1,930.12

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Solution

The fourth proportional to 2,757, 3,806.58 and 1,930.12 is: 2,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757 : 3,806.58 = 1,930.12 : x
  2. Step 2: Convert to fraction form
    2,757/3,806.58 = 1,930.12/x
  3. Step 3: Cross multiply
    2,757x = 3,806.58 × 1,930.12
  4. Step 4: Simplify right side
    2,757x = 7,347,156.19
  5. Step 5: Solve for x
    x = 7,347,156.19/2,757
  6. Step 6: Final answer
    x = 2,664.91

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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.