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Finding the Fourth Proportional to 2,768.76, 3,820.94 and 1,509.80

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Solution

The fourth proportional to 2,768.76, 3,820.94 and 1,509.80 is: 2,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.76 : 3,820.94 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    2,768.76/3,820.94 = 1,509.80/x
  3. Step 3: Cross multiply
    2,768.76x = 3,820.94 × 1,509.80
  4. Step 4: Simplify right side
    2,768.76x = 5,768,855.21
  5. Step 5: Solve for x
    x = 5,768,855.21/2,768.76
  6. Step 6: Final answer
    x = 2,083.55

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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.