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Finding the Fourth Proportional to 1,766.42, 2,646.03 and 1,417.87

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Solution

The fourth proportional to 1,766.42, 2,646.03 and 1,417.87 is: 2,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.42 : 2,646.03 = 1,417.87 : x
  2. Step 2: Convert to fraction form
    1,766.42/2,646.03 = 1,417.87/x
  3. Step 3: Cross multiply
    1,766.42x = 2,646.03 × 1,417.87
  4. Step 4: Simplify right side
    1,766.42x = 3,751,735.18
  5. Step 5: Solve for x
    x = 3,751,735.18/1,766.42
  6. Step 6: Final answer
    x = 2,123.92

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