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Finding the Fourth Proportional to 2,032.62, 2,807.64 and 1,784.76

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Solution

The fourth proportional to 2,032.62, 2,807.64 and 1,784.76 is: 2,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.62 : 2,807.64 = 1,784.76 : x
  2. Step 2: Convert to fraction form
    2,032.62/2,807.64 = 1,784.76/x
  3. Step 3: Cross multiply
    2,032.62x = 2,807.64 × 1,784.76
  4. Step 4: Simplify right side
    2,032.62x = 5,010,963.57
  5. Step 5: Solve for x
    x = 5,010,963.57/2,032.62
  6. Step 6: Final answer
    x = 2,465.27

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