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Finding the Fourth Proportional to 2,563.06, 3,840.54 and 1,866.52

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Solution

The fourth proportional to 2,563.06, 3,840.54 and 1,866.52 is: 2,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.06 : 3,840.54 = 1,866.52 : x
  2. Step 2: Convert to fraction form
    2,563.06/3,840.54 = 1,866.52/x
  3. Step 3: Cross multiply
    2,563.06x = 3,840.54 × 1,866.52
  4. Step 4: Simplify right side
    2,563.06x = 7,168,453.02
  5. Step 5: Solve for x
    x = 7,168,453.02/2,563.06
  6. Step 6: Final answer
    x = 2,796.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.