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Finding the Fourth Proportional to 2,930.67, 4,391.13 and 2,063.16

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Solution

The fourth proportional to 2,930.67, 4,391.13 and 2,063.16 is: 3,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.67 : 4,391.13 = 2,063.16 : x
  2. Step 2: Convert to fraction form
    2,930.67/4,391.13 = 2,063.16/x
  3. Step 3: Cross multiply
    2,930.67x = 4,391.13 × 2,063.16
  4. Step 4: Simplify right side
    2,930.67x = 9,059,603.77
  5. Step 5: Solve for x
    x = 9,059,603.77/2,930.67
  6. Step 6: Final answer
    x = 3,091.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.