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Finding the Fourth Proportional to 1,685.74, 2,528.97 and 590.14

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Solution

The fourth proportional to 1,685.74, 2,528.97 and 590.14 is: 885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.74 : 2,528.97 = 590.14 : x
  2. Step 2: Convert to fraction form
    1,685.74/2,528.97 = 590.14/x
  3. Step 3: Cross multiply
    1,685.74x = 2,528.97 × 590.14
  4. Step 4: Simplify right side
    1,685.74x = 1,492,446.36
  5. Step 5: Solve for x
    x = 1,492,446.36/1,685.74
  6. Step 6: Final answer
    x = 885.34

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