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Finding the Fourth Proportional to 1,661.83, 2,492.75 and 1,140.25

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Solution

The fourth proportional to 1,661.83, 2,492.75 and 1,140.25 is: 1,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.83 : 2,492.75 = 1,140.25 : x
  2. Step 2: Convert to fraction form
    1,661.83/2,492.75 = 1,140.25/x
  3. Step 3: Cross multiply
    1,661.83x = 2,492.75 × 1,140.25
  4. Step 4: Simplify right side
    1,661.83x = 2,842,362.48
  5. Step 5: Solve for x
    x = 2,842,362.48/1,661.83
  6. Step 6: Final answer
    x = 1,710.38

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