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Finding the Fourth Proportional to 4,600.80, 6,902.40 and 1,827.84

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Solution

The fourth proportional to 4,600.80, 6,902.40 and 1,827.84 is: 2,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.80 : 6,902.40 = 1,827.84 : x
  2. Step 2: Convert to fraction form
    4,600.80/6,902.40 = 1,827.84/x
  3. Step 3: Cross multiply
    4,600.80x = 6,902.40 × 1,827.84
  4. Step 4: Simplify right side
    4,600.80x = 12,616,482.82
  5. Step 5: Solve for x
    x = 12,616,482.82/4,600.80
  6. Step 6: Final answer
    x = 2,742.24

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