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Finding the Fourth Proportional to 1,312.46, 1,968.96 and 1,097.54

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Solution

The fourth proportional to 1,312.46, 1,968.96 and 1,097.54 is: 1,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.46 : 1,968.96 = 1,097.54 : x
  2. Step 2: Convert to fraction form
    1,312.46/1,968.96 = 1,097.54/x
  3. Step 3: Cross multiply
    1,312.46x = 1,968.96 × 1,097.54
  4. Step 4: Simplify right side
    1,312.46x = 2,161,002.51
  5. Step 5: Solve for x
    x = 2,161,002.51/1,312.46
  6. Step 6: Final answer
    x = 1,646.53

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