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Finding the Fourth Proportional to 2,587.83, 3,880.32 and 1,026.25

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Solution

The fourth proportional to 2,587.83, 3,880.32 and 1,026.25 is: 1,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.83 : 3,880.32 = 1,026.25 : x
  2. Step 2: Convert to fraction form
    2,587.83/3,880.32 = 1,026.25/x
  3. Step 3: Cross multiply
    2,587.83x = 3,880.32 × 1,026.25
  4. Step 4: Simplify right side
    2,587.83x = 3,982,178.40
  5. Step 5: Solve for x
    x = 3,982,178.40/2,587.83
  6. Step 6: Final answer
    x = 1,538.81

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