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Finding the Fourth Proportional to 2,596.71, 3,582.06 and 1,600.26

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Solution

The fourth proportional to 2,596.71, 3,582.06 and 1,600.26 is: 2,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.71 : 3,582.06 = 1,600.26 : x
  2. Step 2: Convert to fraction form
    2,596.71/3,582.06 = 1,600.26/x
  3. Step 3: Cross multiply
    2,596.71x = 3,582.06 × 1,600.26
  4. Step 4: Simplify right side
    2,596.71x = 5,732,227.34
  5. Step 5: Solve for x
    x = 5,732,227.34/2,596.71
  6. Step 6: Final answer
    x = 2,207.50

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