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Finding the Fourth Proportional to 1,712.64, 2,569.44 and 1,405.92

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Solution

The fourth proportional to 1,712.64, 2,569.44 and 1,405.92 is: 2,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.64 : 2,569.44 = 1,405.92 : x
  2. Step 2: Convert to fraction form
    1,712.64/2,569.44 = 1,405.92/x
  3. Step 3: Cross multiply
    1,712.64x = 2,569.44 × 1,405.92
  4. Step 4: Simplify right side
    1,712.64x = 3,612,427.08
  5. Step 5: Solve for x
    x = 3,612,427.08/1,712.64
  6. Step 6: Final answer
    x = 2,109.27

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