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Finding the Fourth Proportional to 3,211.84, 4,816.32 and 1,980.80

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Solution

The fourth proportional to 3,211.84, 4,816.32 and 1,980.80 is: 2,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.84 : 4,816.32 = 1,980.80 : x
  2. Step 2: Convert to fraction form
    3,211.84/4,816.32 = 1,980.80/x
  3. Step 3: Cross multiply
    3,211.84x = 4,816.32 × 1,980.80
  4. Step 4: Simplify right side
    3,211.84x = 9,540,166.66
  5. Step 5: Solve for x
    x = 9,540,166.66/3,211.84
  6. Step 6: Final answer
    x = 2,970.31

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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.