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Finding the Fourth Proportional to 1,897.60, 2,844.66 and 1,606.98

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Solution

The fourth proportional to 1,897.60, 2,844.66 and 1,606.98 is: 2,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.60 : 2,844.66 = 1,606.98 : x
  2. Step 2: Convert to fraction form
    1,897.60/2,844.66 = 1,606.98/x
  3. Step 3: Cross multiply
    1,897.60x = 2,844.66 × 1,606.98
  4. Step 4: Simplify right side
    1,897.60x = 4,571,311.73
  5. Step 5: Solve for x
    x = 4,571,311.73/1,897.60
  6. Step 6: Final answer
    x = 2,409.00

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