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Finding the Fourth Proportional to 3,184.67, 4,394.52 and 1,768.25

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Solution

The fourth proportional to 3,184.67, 4,394.52 and 1,768.25 is: 2,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.67 : 4,394.52 = 1,768.25 : x
  2. Step 2: Convert to fraction form
    3,184.67/4,394.52 = 1,768.25/x
  3. Step 3: Cross multiply
    3,184.67x = 4,394.52 × 1,768.25
  4. Step 4: Simplify right side
    3,184.67x = 7,770,588.02
  5. Step 5: Solve for x
    x = 7,770,588.02/3,184.67
  6. Step 6: Final answer
    x = 2,440.00

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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.