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Finding the Fourth Proportional to 1,298.70, 1,948.05 and 1,185.30

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Solution

The fourth proportional to 1,298.70, 1,948.05 and 1,185.30 is: 1,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.70 : 1,948.05 = 1,185.30 : x
  2. Step 2: Convert to fraction form
    1,298.70/1,948.05 = 1,185.30/x
  3. Step 3: Cross multiply
    1,298.70x = 1,948.05 × 1,185.30
  4. Step 4: Simplify right side
    1,298.70x = 2,309,023.67
  5. Step 5: Solve for x
    x = 2,309,023.67/1,298.70
  6. Step 6: Final answer
    x = 1,777.95

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