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Finding the Fourth Proportional to 2,717.84, 4,076.96 and 770.19

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Solution

The fourth proportional to 2,717.84, 4,076.96 and 770.19 is: 1,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.84 : 4,076.96 = 770.19 : x
  2. Step 2: Convert to fraction form
    2,717.84/4,076.96 = 770.19/x
  3. Step 3: Cross multiply
    2,717.84x = 4,076.96 × 770.19
  4. Step 4: Simplify right side
    2,717.84x = 3,140,029.97
  5. Step 5: Solve for x
    x = 3,140,029.97/2,717.84
  6. Step 6: Final answer
    x = 1,155.34

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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.