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Finding the Fourth Proportional to 2,768.44, 4,154.61 and 2,503.76

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Solution

The fourth proportional to 2,768.44, 4,154.61 and 2,503.76 is: 3,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.44 : 4,154.61 = 2,503.76 : x
  2. Step 2: Convert to fraction form
    2,768.44/4,154.61 = 2,503.76/x
  3. Step 3: Cross multiply
    2,768.44x = 4,154.61 × 2,503.76
  4. Step 4: Simplify right side
    2,768.44x = 10,402,142.05
  5. Step 5: Solve for x
    x = 10,402,142.05/2,768.44
  6. Step 6: Final answer
    x = 3,757.40

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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.