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Finding the Fourth Proportional to 1,769.16, 2,656.98 and 1,406.28

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Solution

The fourth proportional to 1,769.16, 2,656.98 and 1,406.28 is: 2,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.16 : 2,656.98 = 1,406.28 : x
  2. Step 2: Convert to fraction form
    1,769.16/2,656.98 = 1,406.28/x
  3. Step 3: Cross multiply
    1,769.16x = 2,656.98 × 1,406.28
  4. Step 4: Simplify right side
    1,769.16x = 3,736,457.83
  5. Step 5: Solve for x
    x = 3,736,457.83/1,769.16
  6. Step 6: Final answer
    x = 2,112.00

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