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Finding the Fourth Proportional to 2,281.76, 3,419.40 and 1,666.88

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Solution

The fourth proportional to 2,281.76, 3,419.40 and 1,666.88 is: 2,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.76 : 3,419.40 = 1,666.88 : x
  2. Step 2: Convert to fraction form
    2,281.76/3,419.40 = 1,666.88/x
  3. Step 3: Cross multiply
    2,281.76x = 3,419.40 × 1,666.88
  4. Step 4: Simplify right side
    2,281.76x = 5,699,729.47
  5. Step 5: Solve for x
    x = 5,699,729.47/2,281.76
  6. Step 6: Final answer
    x = 2,497.95

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