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Finding the Fourth Proportional to 2,765.72, 3,814.17 and 2,059.35

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Solution

The fourth proportional to 2,765.72, 3,814.17 and 2,059.35 is: 2,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.72 : 3,814.17 = 2,059.35 : x
  2. Step 2: Convert to fraction form
    2,765.72/3,814.17 = 2,059.35/x
  3. Step 3: Cross multiply
    2,765.72x = 3,814.17 × 2,059.35
  4. Step 4: Simplify right side
    2,765.72x = 7,854,710.99
  5. Step 5: Solve for x
    x = 7,854,710.99/2,765.72
  6. Step 6: Final answer
    x = 2,840.02

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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.