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Finding the Fourth Proportional to 2,784.56, 4,174.35 and 1,054.40

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Solution

The fourth proportional to 2,784.56, 4,174.35 and 1,054.40 is: 1,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.56 : 4,174.35 = 1,054.40 : x
  2. Step 2: Convert to fraction form
    2,784.56/4,174.35 = 1,054.40/x
  3. Step 3: Cross multiply
    2,784.56x = 4,174.35 × 1,054.40
  4. Step 4: Simplify right side
    2,784.56x = 4,401,434.64
  5. Step 5: Solve for x
    x = 4,401,434.64/2,784.56
  6. Step 6: Final answer
    x = 1,580.66

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