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Finding the Fourth Proportional to 1,691.40, 2,531.16 and 1,462.98

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Solution

The fourth proportional to 1,691.40, 2,531.16 and 1,462.98 is: 2,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.40 : 2,531.16 = 1,462.98 : x
  2. Step 2: Convert to fraction form
    1,691.40/2,531.16 = 1,462.98/x
  3. Step 3: Cross multiply
    1,691.40x = 2,531.16 × 1,462.98
  4. Step 4: Simplify right side
    1,691.40x = 3,703,036.46
  5. Step 5: Solve for x
    x = 3,703,036.46/1,691.40
  6. Step 6: Final answer
    x = 2,189.33

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