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Finding the Fourth Proportional to 1,715.82, 2,576.85 and 1,646.22

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Solution

The fourth proportional to 1,715.82, 2,576.85 and 1,646.22 is: 2,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.82 : 2,576.85 = 1,646.22 : x
  2. Step 2: Convert to fraction form
    1,715.82/2,576.85 = 1,646.22/x
  3. Step 3: Cross multiply
    1,715.82x = 2,576.85 × 1,646.22
  4. Step 4: Simplify right side
    1,715.82x = 4,242,062.01
  5. Step 5: Solve for x
    x = 4,242,062.01/1,715.82
  6. Step 6: Final answer
    x = 2,472.32

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