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Finding the Fourth Proportional to 2,968.94, 4,094.42 and 2,549.16

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Solution

The fourth proportional to 2,968.94, 4,094.42 and 2,549.16 is: 3,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.94 : 4,094.42 = 2,549.16 : x
  2. Step 2: Convert to fraction form
    2,968.94/4,094.42 = 2,549.16/x
  3. Step 3: Cross multiply
    2,968.94x = 4,094.42 × 2,549.16
  4. Step 4: Simplify right side
    2,968.94x = 10,437,318.94
  5. Step 5: Solve for x
    x = 10,437,318.94/2,968.94
  6. Step 6: Final answer
    x = 3,515.51

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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.