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Finding the Fourth Proportional to 2,602.64, 3,905.78 and 2,058.32

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Solution

The fourth proportional to 2,602.64, 3,905.78 and 2,058.32 is: 3,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.64 : 3,905.78 = 2,058.32 : x
  2. Step 2: Convert to fraction form
    2,602.64/3,905.78 = 2,058.32/x
  3. Step 3: Cross multiply
    2,602.64x = 3,905.78 × 2,058.32
  4. Step 4: Simplify right side
    2,602.64x = 8,039,315.27
  5. Step 5: Solve for x
    x = 8,039,315.27/2,602.64
  6. Step 6: Final answer
    x = 3,088.91

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