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Finding the Fourth Proportional to 1,784.82, 2,464.06 and 1,587.76

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Solution

The fourth proportional to 1,784.82, 2,464.06 and 1,587.76 is: 2,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.82 : 2,464.06 = 1,587.76 : x
  2. Step 2: Convert to fraction form
    1,784.82/2,464.06 = 1,587.76/x
  3. Step 3: Cross multiply
    1,784.82x = 2,464.06 × 1,587.76
  4. Step 4: Simplify right side
    1,784.82x = 3,912,335.91
  5. Step 5: Solve for x
    x = 3,912,335.91/1,784.82
  6. Step 6: Final answer
    x = 2,192.01

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