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Finding the Fourth Proportional to 2,096.41, 3,145.80 and 1,931.17

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Solution

The fourth proportional to 2,096.41, 3,145.80 and 1,931.17 is: 2,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.41 : 3,145.80 = 1,931.17 : x
  2. Step 2: Convert to fraction form
    2,096.41/3,145.80 = 1,931.17/x
  3. Step 3: Cross multiply
    2,096.41x = 3,145.80 × 1,931.17
  4. Step 4: Simplify right side
    2,096.41x = 6,075,074.59
  5. Step 5: Solve for x
    x = 6,075,074.59/2,096.41
  6. Step 6: Final answer
    x = 2,897.85

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