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Finding the Fourth Proportional to 2,765.05, 3,820.62 and 2,210.09

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Solution

The fourth proportional to 2,765.05, 3,820.62 and 2,210.09 is: 3,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.05 : 3,820.62 = 2,210.09 : x
  2. Step 2: Convert to fraction form
    2,765.05/3,820.62 = 2,210.09/x
  3. Step 3: Cross multiply
    2,765.05x = 3,820.62 × 2,210.09
  4. Step 4: Simplify right side
    2,765.05x = 8,443,923.61
  5. Step 5: Solve for x
    x = 8,443,923.61/2,765.05
  6. Step 6: Final answer
    x = 3,053.81

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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.