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Finding the Fourth Proportional to 2,256.48, 3,384.72 and 1,709.64

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Solution

The fourth proportional to 2,256.48, 3,384.72 and 1,709.64 is: 2,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.48 : 3,384.72 = 1,709.64 : x
  2. Step 2: Convert to fraction form
    2,256.48/3,384.72 = 1,709.64/x
  3. Step 3: Cross multiply
    2,256.48x = 3,384.72 × 1,709.64
  4. Step 4: Simplify right side
    2,256.48x = 5,786,652.70
  5. Step 5: Solve for x
    x = 5,786,652.70/2,256.48
  6. Step 6: Final answer
    x = 2,564.46

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