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Finding the Fourth Proportional to 2,695.77, 3,716.51 and 1,797.66

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Solution

The fourth proportional to 2,695.77, 3,716.51 and 1,797.66 is: 2,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.77 : 3,716.51 = 1,797.66 : x
  2. Step 2: Convert to fraction form
    2,695.77/3,716.51 = 1,797.66/x
  3. Step 3: Cross multiply
    2,695.77x = 3,716.51 × 1,797.66
  4. Step 4: Simplify right side
    2,695.77x = 6,681,012.38
  5. Step 5: Solve for x
    x = 6,681,012.38/2,695.77
  6. Step 6: Final answer
    x = 2,478.33

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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.