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Finding the Fourth Proportional to 1,582.80, 2,375.64 and 1,120.74

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Solution

The fourth proportional to 1,582.80, 2,375.64 and 1,120.74 is: 1,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.80 : 2,375.64 = 1,120.74 : x
  2. Step 2: Convert to fraction form
    1,582.80/2,375.64 = 1,120.74/x
  3. Step 3: Cross multiply
    1,582.80x = 2,375.64 × 1,120.74
  4. Step 4: Simplify right side
    1,582.80x = 2,662,474.77
  5. Step 5: Solve for x
    x = 2,662,474.77/1,582.80
  6. Step 6: Final answer
    x = 1,682.13

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