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Finding the Fourth Proportional to 1,582.73, 2,369.84 and 1,033.55

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Solution

The fourth proportional to 1,582.73, 2,369.84 and 1,033.55 is: 1,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.73 : 2,369.84 = 1,033.55 : x
  2. Step 2: Convert to fraction form
    1,582.73/2,369.84 = 1,033.55/x
  3. Step 3: Cross multiply
    1,582.73x = 2,369.84 × 1,033.55
  4. Step 4: Simplify right side
    1,582.73x = 2,449,348.13
  5. Step 5: Solve for x
    x = 2,449,348.13/1,582.73
  6. Step 6: Final answer
    x = 1,547.55

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