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Finding the Fourth Proportional to 2,768.79, 3,820.89 and 1,509.91

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Solution

The fourth proportional to 2,768.79, 3,820.89 and 1,509.91 is: 2,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.79 : 3,820.89 = 1,509.91 : x
  2. Step 2: Convert to fraction form
    2,768.79/3,820.89 = 1,509.91/x
  3. Step 3: Cross multiply
    2,768.79x = 3,820.89 × 1,509.91
  4. Step 4: Simplify right side
    2,768.79x = 5,769,196.13
  5. Step 5: Solve for x
    x = 5,769,196.13/2,768.79
  6. Step 6: Final answer
    x = 2,083.65

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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.