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Finding the Fourth Proportional to 1,946.08, 2,916.40 and 1,123.20

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Solution

The fourth proportional to 1,946.08, 2,916.40 and 1,123.20 is: 1,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.08 : 2,916.40 = 1,123.20 : x
  2. Step 2: Convert to fraction form
    1,946.08/2,916.40 = 1,123.20/x
  3. Step 3: Cross multiply
    1,946.08x = 2,916.40 × 1,123.20
  4. Step 4: Simplify right side
    1,946.08x = 3,275,700.48
  5. Step 5: Solve for x
    x = 3,275,700.48/1,946.08
  6. Step 6: Final answer
    x = 1,683.23

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