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Finding the Fourth Proportional to 2,768.86, 4,153.54 and 794.51

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Solution

The fourth proportional to 2,768.86, 4,153.54 and 794.51 is: 1,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.86 : 4,153.54 = 794.51 : x
  2. Step 2: Convert to fraction form
    2,768.86/4,153.54 = 794.51/x
  3. Step 3: Cross multiply
    2,768.86x = 4,153.54 × 794.51
  4. Step 4: Simplify right side
    2,768.86x = 3,300,029.07
  5. Step 5: Solve for x
    x = 3,300,029.07/2,768.86
  6. Step 6: Final answer
    x = 1,191.84

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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.