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Finding the Fourth Proportional to 3,212.49, 4,819.01 and 1,020.77

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Solution

The fourth proportional to 3,212.49, 4,819.01 and 1,020.77 is: 1,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.49 : 4,819.01 = 1,020.77 : x
  2. Step 2: Convert to fraction form
    3,212.49/4,819.01 = 1,020.77/x
  3. Step 3: Cross multiply
    3,212.49x = 4,819.01 × 1,020.77
  4. Step 4: Simplify right side
    3,212.49x = 4,919,071.64
  5. Step 5: Solve for x
    x = 4,919,071.64/3,212.49
  6. Step 6: Final answer
    x = 1,531.23

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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.