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Finding the Fourth Proportional to 1,770.58, 2,650.74 and 1,582.98

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Solution

The fourth proportional to 1,770.58, 2,650.74 and 1,582.98 is: 2,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.58 : 2,650.74 = 1,582.98 : x
  2. Step 2: Convert to fraction form
    1,770.58/2,650.74 = 1,582.98/x
  3. Step 3: Cross multiply
    1,770.58x = 2,650.74 × 1,582.98
  4. Step 4: Simplify right side
    1,770.58x = 4,196,061.43
  5. Step 5: Solve for x
    x = 4,196,061.43/1,770.58
  6. Step 6: Final answer
    x = 2,369.88

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