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Finding the Fourth Proportional to 2,602.13, 3,905.24 and 1,142.28

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Solution

The fourth proportional to 2,602.13, 3,905.24 and 1,142.28 is: 1,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.13 : 3,905.24 = 1,142.28 : x
  2. Step 2: Convert to fraction form
    2,602.13/3,905.24 = 1,142.28/x
  3. Step 3: Cross multiply
    2,602.13x = 3,905.24 × 1,142.28
  4. Step 4: Simplify right side
    2,602.13x = 4,460,871.84
  5. Step 5: Solve for x
    x = 4,460,871.84/2,602.13
  6. Step 6: Final answer
    x = 1,714.32

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