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Finding the Fourth Proportional to 1,586.91, 2,375.19 and 1,435.35

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Solution

The fourth proportional to 1,586.91, 2,375.19 and 1,435.35 is: 2,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.91 : 2,375.19 = 1,435.35 : x
  2. Step 2: Convert to fraction form
    1,586.91/2,375.19 = 1,435.35/x
  3. Step 3: Cross multiply
    1,586.91x = 2,375.19 × 1,435.35
  4. Step 4: Simplify right side
    1,586.91x = 3,409,228.97
  5. Step 5: Solve for x
    x = 3,409,228.97/1,586.91
  6. Step 6: Final answer
    x = 2,148.34

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