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Finding the Fourth Proportional to 1,683.78, 2,519.94 and 1,537.72

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Solution

The fourth proportional to 1,683.78, 2,519.94 and 1,537.72 is: 2,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.78 : 2,519.94 = 1,537.72 : x
  2. Step 2: Convert to fraction form
    1,683.78/2,519.94 = 1,537.72/x
  3. Step 3: Cross multiply
    1,683.78x = 2,519.94 × 1,537.72
  4. Step 4: Simplify right side
    1,683.78x = 3,874,962.14
  5. Step 5: Solve for x
    x = 3,874,962.14/1,683.78
  6. Step 6: Final answer
    x = 2,301.35

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