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Finding the Fourth Proportional to 2,761.62, 4,144.86 and 2,329.08

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Solution

The fourth proportional to 2,761.62, 4,144.86 and 2,329.08 is: 3,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.62 : 4,144.86 = 2,329.08 : x
  2. Step 2: Convert to fraction form
    2,761.62/4,144.86 = 2,329.08/x
  3. Step 3: Cross multiply
    2,761.62x = 4,144.86 × 2,329.08
  4. Step 4: Simplify right side
    2,761.62x = 9,653,710.53
  5. Step 5: Solve for x
    x = 9,653,710.53/2,761.62
  6. Step 6: Final answer
    x = 3,495.67

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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.