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Finding the Fourth Proportional to 1,868.16, 2,802.76 and 1,664.14

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Solution

The fourth proportional to 1,868.16, 2,802.76 and 1,664.14 is: 2,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.16 : 2,802.76 = 1,664.14 : x
  2. Step 2: Convert to fraction form
    1,868.16/2,802.76 = 1,664.14/x
  3. Step 3: Cross multiply
    1,868.16x = 2,802.76 × 1,664.14
  4. Step 4: Simplify right side
    1,868.16x = 4,664,185.03
  5. Step 5: Solve for x
    x = 4,664,185.03/1,868.16
  6. Step 6: Final answer
    x = 2,496.67

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