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Finding the Fourth Proportional to 1,298.60, 1,945.98 and 1,266.42

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Solution

The fourth proportional to 1,298.60, 1,945.98 and 1,266.42 is: 1,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.60 : 1,945.98 = 1,266.42 : x
  2. Step 2: Convert to fraction form
    1,298.60/1,945.98 = 1,266.42/x
  3. Step 3: Cross multiply
    1,298.60x = 1,945.98 × 1,266.42
  4. Step 4: Simplify right side
    1,298.60x = 2,464,427.99
  5. Step 5: Solve for x
    x = 2,464,427.99/1,298.60
  6. Step 6: Final answer
    x = 1,897.76

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