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Finding the Fourth Proportional to 2,115.16, 3,166.24 and 1,383.16

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Solution

The fourth proportional to 2,115.16, 3,166.24 and 1,383.16 is: 2,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.16 : 3,166.24 = 1,383.16 : x
  2. Step 2: Convert to fraction form
    2,115.16/3,166.24 = 1,383.16/x
  3. Step 3: Cross multiply
    2,115.16x = 3,166.24 × 1,383.16
  4. Step 4: Simplify right side
    2,115.16x = 4,379,416.52
  5. Step 5: Solve for x
    x = 4,379,416.52/2,115.16
  6. Step 6: Final answer
    x = 2,070.49

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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.