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Finding the Fourth Proportional to 1,689.83, 2,531.70 and 1,588.17

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Solution

The fourth proportional to 1,689.83, 2,531.70 and 1,588.17 is: 2,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.83 : 2,531.70 = 1,588.17 : x
  2. Step 2: Convert to fraction form
    1,689.83/2,531.70 = 1,588.17/x
  3. Step 3: Cross multiply
    1,689.83x = 2,531.70 × 1,588.17
  4. Step 4: Simplify right side
    1,689.83x = 4,020,769.99
  5. Step 5: Solve for x
    x = 4,020,769.99/1,689.83
  6. Step 6: Final answer
    x = 2,379.39

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