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Finding the Fourth Proportional to 2,745.16, 3,784.48 and 2,323.84

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Solution

The fourth proportional to 2,745.16, 3,784.48 and 2,323.84 is: 3,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.16 : 3,784.48 = 2,323.84 : x
  2. Step 2: Convert to fraction form
    2,745.16/3,784.48 = 2,323.84/x
  3. Step 3: Cross multiply
    2,745.16x = 3,784.48 × 2,323.84
  4. Step 4: Simplify right side
    2,745.16x = 8,794,526.00
  5. Step 5: Solve for x
    x = 8,794,526.00/2,745.16
  6. Step 6: Final answer
    x = 3,203.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.