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Finding the Fourth Proportional to 2,277.34, 3,411.87 and 1,582.54

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Solution

The fourth proportional to 2,277.34, 3,411.87 and 1,582.54 is: 2,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.34 : 3,411.87 = 1,582.54 : x
  2. Step 2: Convert to fraction form
    2,277.34/3,411.87 = 1,582.54/x
  3. Step 3: Cross multiply
    2,277.34x = 3,411.87 × 1,582.54
  4. Step 4: Simplify right side
    2,277.34x = 5,399,420.75
  5. Step 5: Solve for x
    x = 5,399,420.75/2,277.34
  6. Step 6: Final answer
    x = 2,370.93

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