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Finding the Fourth Proportional to 2,121.85, 3,184.80 and 1,026.93

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Solution

The fourth proportional to 2,121.85, 3,184.80 and 1,026.93 is: 1,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.85 : 3,184.80 = 1,026.93 : x
  2. Step 2: Convert to fraction form
    2,121.85/3,184.80 = 1,026.93/x
  3. Step 3: Cross multiply
    2,121.85x = 3,184.80 × 1,026.93
  4. Step 4: Simplify right side
    2,121.85x = 3,270,566.66
  5. Step 5: Solve for x
    x = 3,270,566.66/2,121.85
  6. Step 6: Final answer
    x = 1,541.38

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