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Finding the Fourth Proportional to 2,390.76, 3,299.94 and 1,446.56

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Solution

The fourth proportional to 2,390.76, 3,299.94 and 1,446.56 is: 1,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.76 : 3,299.94 = 1,446.56 : x
  2. Step 2: Convert to fraction form
    2,390.76/3,299.94 = 1,446.56/x
  3. Step 3: Cross multiply
    2,390.76x = 3,299.94 × 1,446.56
  4. Step 4: Simplify right side
    2,390.76x = 4,773,561.21
  5. Step 5: Solve for x
    x = 4,773,561.21/2,390.76
  6. Step 6: Final answer
    x = 1,996.67

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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.