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Finding the Fourth Proportional to 1,458.68, 2,188.38 and 1,297.40

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Solution

The fourth proportional to 1,458.68, 2,188.38 and 1,297.40 is: 1,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.68 : 2,188.38 = 1,297.40 : x
  2. Step 2: Convert to fraction form
    1,458.68/2,188.38 = 1,297.40/x
  3. Step 3: Cross multiply
    1,458.68x = 2,188.38 × 1,297.40
  4. Step 4: Simplify right side
    1,458.68x = 2,839,204.21
  5. Step 5: Solve for x
    x = 2,839,204.21/1,458.68
  6. Step 6: Final answer
    x = 1,946.42

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