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Finding the Fourth Proportional to 1,582.80, 2,374.84 and 1,235.60

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Solution

The fourth proportional to 1,582.80, 2,374.84 and 1,235.60 is: 1,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.80 : 2,374.84 = 1,235.60 : x
  2. Step 2: Convert to fraction form
    1,582.80/2,374.84 = 1,235.60/x
  3. Step 3: Cross multiply
    1,582.80x = 2,374.84 × 1,235.60
  4. Step 4: Simplify right side
    1,582.80x = 2,934,352.30
  5. Step 5: Solve for x
    x = 2,934,352.30/1,582.80
  6. Step 6: Final answer
    x = 1,853.90

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