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Finding the Fourth Proportional to 1,312.74, 1,972.71 and 1,264.14

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Solution

The fourth proportional to 1,312.74, 1,972.71 and 1,264.14 is: 1,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.74 : 1,972.71 = 1,264.14 : x
  2. Step 2: Convert to fraction form
    1,312.74/1,972.71 = 1,264.14/x
  3. Step 3: Cross multiply
    1,312.74x = 1,972.71 × 1,264.14
  4. Step 4: Simplify right side
    1,312.74x = 2,493,781.62
  5. Step 5: Solve for x
    x = 2,493,781.62/1,312.74
  6. Step 6: Final answer
    x = 1,899.68

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