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Finding the Fourth Proportional to 1,608.53, 2,415.51 and 1,061.78

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Solution

The fourth proportional to 1,608.53, 2,415.51 and 1,061.78 is: 1,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.53 : 2,415.51 = 1,061.78 : x
  2. Step 2: Convert to fraction form
    1,608.53/2,415.51 = 1,061.78/x
  3. Step 3: Cross multiply
    1,608.53x = 2,415.51 × 1,061.78
  4. Step 4: Simplify right side
    1,608.53x = 2,564,728.13
  5. Step 5: Solve for x
    x = 2,564,728.13/1,608.53
  6. Step 6: Final answer
    x = 1,594.46

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