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Finding the Fourth Proportional to 1,303, 1,954.14 and 1,097.68

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Solution

The fourth proportional to 1,303, 1,954.14 and 1,097.68 is: 1,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303 : 1,954.14 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    1,303/1,954.14 = 1,097.68/x
  3. Step 3: Cross multiply
    1,303x = 1,954.14 × 1,097.68
  4. Step 4: Simplify right side
    1,303x = 2,145,020.40
  5. Step 5: Solve for x
    x = 2,145,020.40/1,303
  6. Step 6: Final answer
    x = 1,646.22

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