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Finding the Fourth Proportional to 2,707.86, 3,736.84 and 1,465.86

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Solution

The fourth proportional to 2,707.86, 3,736.84 and 1,465.86 is: 2,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.86 : 3,736.84 = 1,465.86 : x
  2. Step 2: Convert to fraction form
    2,707.86/3,736.84 = 1,465.86/x
  3. Step 3: Cross multiply
    2,707.86x = 3,736.84 × 1,465.86
  4. Step 4: Simplify right side
    2,707.86x = 5,477,684.28
  5. Step 5: Solve for x
    x = 5,477,684.28/2,707.86
  6. Step 6: Final answer
    x = 2,022.88

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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.