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Finding the Fourth Proportional to 1,501.72, 2,252.64 and 406

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Solution

The fourth proportional to 1,501.72, 2,252.64 and 406 is: 609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.72 : 2,252.64 = 406 : x
  2. Step 2: Convert to fraction form
    1,501.72/2,252.64 = 406/x
  3. Step 3: Cross multiply
    1,501.72x = 2,252.64 × 406
  4. Step 4: Simplify right side
    1,501.72x = 914,571.84
  5. Step 5: Solve for x
    x = 914,571.84/1,501.72
  6. Step 6: Final answer
    x = 609.02

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