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Finding the Fourth Proportional to 1,687.07, 2,530.61 and 590.84

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Solution

The fourth proportional to 1,687.07, 2,530.61 and 590.84 is: 886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.07 : 2,530.61 = 590.84 : x
  2. Step 2: Convert to fraction form
    1,687.07/2,530.61 = 590.84/x
  3. Step 3: Cross multiply
    1,687.07x = 2,530.61 × 590.84
  4. Step 4: Simplify right side
    1,687.07x = 1,495,170.01
  5. Step 5: Solve for x
    x = 1,495,170.01/1,687.07
  6. Step 6: Final answer
    x = 886.25

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