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Finding the Fourth Proportional to 2,778.49, 4,168.55 and 1,047.25

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Solution

The fourth proportional to 2,778.49, 4,168.55 and 1,047.25 is: 1,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.49 : 4,168.55 = 1,047.25 : x
  2. Step 2: Convert to fraction form
    2,778.49/4,168.55 = 1,047.25/x
  3. Step 3: Cross multiply
    2,778.49x = 4,168.55 × 1,047.25
  4. Step 4: Simplify right side
    2,778.49x = 4,365,513.99
  5. Step 5: Solve for x
    x = 4,365,513.99/2,778.49
  6. Step 6: Final answer
    x = 1,571.18

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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.