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Finding the Fourth Proportional to 2,531.63, 3,780.81 and 2,185.67

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Solution

The fourth proportional to 2,531.63, 3,780.81 and 2,185.67 is: 3,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.63 : 3,780.81 = 2,185.67 : x
  2. Step 2: Convert to fraction form
    2,531.63/3,780.81 = 2,185.67/x
  3. Step 3: Cross multiply
    2,531.63x = 3,780.81 × 2,185.67
  4. Step 4: Simplify right side
    2,531.63x = 8,263,575.89
  5. Step 5: Solve for x
    x = 8,263,575.89/2,531.63
  6. Step 6: Final answer
    x = 3,264.14

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