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Finding the Fourth Proportional to 3,419.70, 4,717.49 and 2,300.69

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Solution

The fourth proportional to 3,419.70, 4,717.49 and 2,300.69 is: 3,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.70 : 4,717.49 = 2,300.69 : x
  2. Step 2: Convert to fraction form
    3,419.70/4,717.49 = 2,300.69/x
  3. Step 3: Cross multiply
    3,419.70x = 4,717.49 × 2,300.69
  4. Step 4: Simplify right side
    3,419.70x = 10,853,446.98
  5. Step 5: Solve for x
    x = 10,853,446.98/3,419.70
  6. Step 6: Final answer
    x = 3,173.80

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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.