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Finding the Fourth Proportional to 2,197.74, 3,296.46 and 1,582.53

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Solution

The fourth proportional to 2,197.74, 3,296.46 and 1,582.53 is: 2,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.74 : 3,296.46 = 1,582.53 : x
  2. Step 2: Convert to fraction form
    2,197.74/3,296.46 = 1,582.53/x
  3. Step 3: Cross multiply
    2,197.74x = 3,296.46 × 1,582.53
  4. Step 4: Simplify right side
    2,197.74x = 5,216,746.84
  5. Step 5: Solve for x
    x = 5,216,746.84/2,197.74
  6. Step 6: Final answer
    x = 2,373.69

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