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Finding the Fourth Proportional to 1,636.14, 2,256.48 and 1,509.78

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Solution

The fourth proportional to 1,636.14, 2,256.48 and 1,509.78 is: 2,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.14 : 2,256.48 = 1,509.78 : x
  2. Step 2: Convert to fraction form
    1,636.14/2,256.48 = 1,509.78/x
  3. Step 3: Cross multiply
    1,636.14x = 2,256.48 × 1,509.78
  4. Step 4: Simplify right side
    1,636.14x = 3,406,788.37
  5. Step 5: Solve for x
    x = 3,406,788.37/1,636.14
  6. Step 6: Final answer
    x = 2,082.21

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