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Finding the Fourth Proportional to 2,569.91, 3,858.04 and 1,689.66

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Solution

The fourth proportional to 2,569.91, 3,858.04 and 1,689.66 is: 2,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.91 : 3,858.04 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    2,569.91/3,858.04 = 1,689.66/x
  3. Step 3: Cross multiply
    2,569.91x = 3,858.04 × 1,689.66
  4. Step 4: Simplify right side
    2,569.91x = 6,518,756.58
  5. Step 5: Solve for x
    x = 6,518,756.58/2,569.91
  6. Step 6: Final answer
    x = 2,536.57

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