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Finding the Fourth Proportional to 1,586.32, 2,375.96 and 1,218.40

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Solution

The fourth proportional to 1,586.32, 2,375.96 and 1,218.40 is: 1,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.32 : 2,375.96 = 1,218.40 : x
  2. Step 2: Convert to fraction form
    1,586.32/2,375.96 = 1,218.40/x
  3. Step 3: Cross multiply
    1,586.32x = 2,375.96 × 1,218.40
  4. Step 4: Simplify right side
    1,586.32x = 2,894,869.66
  5. Step 5: Solve for x
    x = 2,894,869.66/1,586.32
  6. Step 6: Final answer
    x = 1,824.90

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