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Finding the Fourth Proportional to 1,569.16, 2,356.98 and 1,083.16

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Solution

The fourth proportional to 1,569.16, 2,356.98 and 1,083.16 is: 1,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.16 : 2,356.98 = 1,083.16 : x
  2. Step 2: Convert to fraction form
    1,569.16/2,356.98 = 1,083.16/x
  3. Step 3: Cross multiply
    1,569.16x = 2,356.98 × 1,083.16
  4. Step 4: Simplify right side
    1,569.16x = 2,552,986.46
  5. Step 5: Solve for x
    x = 2,552,986.46/1,569.16
  6. Step 6: Final answer
    x = 1,626.98

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