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Finding the Fourth Proportional to 2,768.16, 4,134.61 and 2,504.22

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Solution

The fourth proportional to 2,768.16, 4,134.61 and 2,504.22 is: 3,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.16 : 4,134.61 = 2,504.22 : x
  2. Step 2: Convert to fraction form
    2,768.16/4,134.61 = 2,504.22/x
  3. Step 3: Cross multiply
    2,768.16x = 4,134.61 × 2,504.22
  4. Step 4: Simplify right side
    2,768.16x = 10,353,946.59
  5. Step 5: Solve for x
    x = 10,353,946.59/2,768.16
  6. Step 6: Final answer
    x = 3,740.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.