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Finding the Fourth Proportional to 2,736.69, 3,767.13 and 2,386.77

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Solution

The fourth proportional to 2,736.69, 3,767.13 and 2,386.77 is: 3,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.69 : 3,767.13 = 2,386.77 : x
  2. Step 2: Convert to fraction form
    2,736.69/3,767.13 = 2,386.77/x
  3. Step 3: Cross multiply
    2,736.69x = 3,767.13 × 2,386.77
  4. Step 4: Simplify right side
    2,736.69x = 8,991,272.87
  5. Step 5: Solve for x
    x = 8,991,272.87/2,736.69
  6. Step 6: Final answer
    x = 3,285.46

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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.