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Finding the Fourth Proportional to 2,707.32, 3,736.14 and 1,659

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Solution

The fourth proportional to 2,707.32, 3,736.14 and 1,659 is: 2,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.32 : 3,736.14 = 1,659 : x
  2. Step 2: Convert to fraction form
    2,707.32/3,736.14 = 1,659/x
  3. Step 3: Cross multiply
    2,707.32x = 3,736.14 × 1,659
  4. Step 4: Simplify right side
    2,707.32x = 6,198,256.26
  5. Step 5: Solve for x
    x = 6,198,256.26/2,707.32
  6. Step 6: Final answer
    x = 2,289.44

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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.