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Finding the Fourth Proportional to 2,944.76, 4,414.10 and 1,846.67

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Solution

The fourth proportional to 2,944.76, 4,414.10 and 1,846.67 is: 2,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.76 : 4,414.10 = 1,846.67 : x
  2. Step 2: Convert to fraction form
    2,944.76/4,414.10 = 1,846.67/x
  3. Step 3: Cross multiply
    2,944.76x = 4,414.10 × 1,846.67
  4. Step 4: Simplify right side
    2,944.76x = 8,151,354.74
  5. Step 5: Solve for x
    x = 8,151,354.74/2,944.76
  6. Step 6: Final answer
    x = 2,768.09

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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.