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Finding the Fourth Proportional to 1,683.78, 2,518.98 and 1,420.83

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Solution

The fourth proportional to 1,683.78, 2,518.98 and 1,420.83 is: 2,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.78 : 2,518.98 = 1,420.83 : x
  2. Step 2: Convert to fraction form
    1,683.78/2,518.98 = 1,420.83/x
  3. Step 3: Cross multiply
    1,683.78x = 2,518.98 × 1,420.83
  4. Step 4: Simplify right side
    1,683.78x = 3,579,042.35
  5. Step 5: Solve for x
    x = 3,579,042.35/1,683.78
  6. Step 6: Final answer
    x = 2,125.60

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