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Finding the Fourth Proportional to 3,021.70, 4,532.53 and 1,643.79

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Solution

The fourth proportional to 3,021.70, 4,532.53 and 1,643.79 is: 2,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.70 : 4,532.53 = 1,643.79 : x
  2. Step 2: Convert to fraction form
    3,021.70/4,532.53 = 1,643.79/x
  3. Step 3: Cross multiply
    3,021.70x = 4,532.53 × 1,643.79
  4. Step 4: Simplify right side
    3,021.70x = 7,450,513.15
  5. Step 5: Solve for x
    x = 7,450,513.15/3,021.70
  6. Step 6: Final answer
    x = 2,465.67

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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.