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Finding the Fourth Proportional to 1,298.34, 1,942.86 and 1,022.52

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Solution

The fourth proportional to 1,298.34, 1,942.86 and 1,022.52 is: 1,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.34 : 1,942.86 = 1,022.52 : x
  2. Step 2: Convert to fraction form
    1,298.34/1,942.86 = 1,022.52/x
  3. Step 3: Cross multiply
    1,298.34x = 1,942.86 × 1,022.52
  4. Step 4: Simplify right side
    1,298.34x = 1,986,613.21
  5. Step 5: Solve for x
    x = 1,986,613.21/1,298.34
  6. Step 6: Final answer
    x = 1,530.12

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