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Finding the Fourth Proportional to 3,120.84, 4,676.46 and 1,582.92

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Solution

The fourth proportional to 3,120.84, 4,676.46 and 1,582.92 is: 2,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.84 : 4,676.46 = 1,582.92 : x
  2. Step 2: Convert to fraction form
    3,120.84/4,676.46 = 1,582.92/x
  3. Step 3: Cross multiply
    3,120.84x = 4,676.46 × 1,582.92
  4. Step 4: Simplify right side
    3,120.84x = 7,402,462.06
  5. Step 5: Solve for x
    x = 7,402,462.06/3,120.84
  6. Step 6: Final answer
    x = 2,371.95

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