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Finding the Fourth Proportional to 2,411.56, 3,617.61 and 767.73

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Solution

The fourth proportional to 2,411.56, 3,617.61 and 767.73 is: 1,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.56 : 3,617.61 = 767.73 : x
  2. Step 2: Convert to fraction form
    2,411.56/3,617.61 = 767.73/x
  3. Step 3: Cross multiply
    2,411.56x = 3,617.61 × 767.73
  4. Step 4: Simplify right side
    2,411.56x = 2,777,329.89
  5. Step 5: Solve for x
    x = 2,777,329.89/2,411.56
  6. Step 6: Final answer
    x = 1,151.67

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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.