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Finding the Fourth Proportional to 1,628.96, 2,430.08 and 1,584.34

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Solution

The fourth proportional to 1,628.96, 2,430.08 and 1,584.34 is: 2,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.96 : 2,430.08 = 1,584.34 : x
  2. Step 2: Convert to fraction form
    1,628.96/2,430.08 = 1,584.34/x
  3. Step 3: Cross multiply
    1,628.96x = 2,430.08 × 1,584.34
  4. Step 4: Simplify right side
    1,628.96x = 3,850,072.95
  5. Step 5: Solve for x
    x = 3,850,072.95/1,628.96
  6. Step 6: Final answer
    x = 2,363.52

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