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Finding the Fourth Proportional to 1,582.56, 2,374.98 and 1,063.56

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Solution

The fourth proportional to 1,582.56, 2,374.98 and 1,063.56 is: 1,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.56 : 2,374.98 = 1,063.56 : x
  2. Step 2: Convert to fraction form
    1,582.56/2,374.98 = 1,063.56/x
  3. Step 3: Cross multiply
    1,582.56x = 2,374.98 × 1,063.56
  4. Step 4: Simplify right side
    1,582.56x = 2,525,933.73
  5. Step 5: Solve for x
    x = 2,525,933.73/1,582.56
  6. Step 6: Final answer
    x = 1,596.11

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