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Finding the Fourth Proportional to 2,969.60, 4,454.37 and 1,582.58

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Solution

The fourth proportional to 2,969.60, 4,454.37 and 1,582.58 is: 2,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.60 : 4,454.37 = 1,582.58 : x
  2. Step 2: Convert to fraction form
    2,969.60/4,454.37 = 1,582.58/x
  3. Step 3: Cross multiply
    2,969.60x = 4,454.37 × 1,582.58
  4. Step 4: Simplify right side
    2,969.60x = 7,049,396.87
  5. Step 5: Solve for x
    x = 7,049,396.87/2,969.60
  6. Step 6: Final answer
    x = 2,373.85

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