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Finding the Fourth Proportional to 1,411.78, 2,114.85 and 1,296.96

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Solution

The fourth proportional to 1,411.78, 2,114.85 and 1,296.96 is: 1,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.78 : 2,114.85 = 1,296.96 : x
  2. Step 2: Convert to fraction form
    1,411.78/2,114.85 = 1,296.96/x
  3. Step 3: Cross multiply
    1,411.78x = 2,114.85 × 1,296.96
  4. Step 4: Simplify right side
    1,411.78x = 2,742,875.86
  5. Step 5: Solve for x
    x = 2,742,875.86/1,411.78
  6. Step 6: Final answer
    x = 1,942.85

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