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Finding the Fourth Proportional to 2,828.04, 4,242.13 and 1,666.20

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Solution

The fourth proportional to 2,828.04, 4,242.13 and 1,666.20 is: 2,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.04 : 4,242.13 = 1,666.20 : x
  2. Step 2: Convert to fraction form
    2,828.04/4,242.13 = 1,666.20/x
  3. Step 3: Cross multiply
    2,828.04x = 4,242.13 × 1,666.20
  4. Step 4: Simplify right side
    2,828.04x = 7,068,232.84
  5. Step 5: Solve for x
    x = 7,068,232.84/2,828.04
  6. Step 6: Final answer
    x = 2,499.34

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