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Finding the Fourth Proportional to 3,285.80, 4,928.70 and 1,989.80

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Solution

The fourth proportional to 3,285.80, 4,928.70 and 1,989.80 is: 2,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.80 : 4,928.70 = 1,989.80 : x
  2. Step 2: Convert to fraction form
    3,285.80/4,928.70 = 1,989.80/x
  3. Step 3: Cross multiply
    3,285.80x = 4,928.70 × 1,989.80
  4. Step 4: Simplify right side
    3,285.80x = 9,807,127.26
  5. Step 5: Solve for x
    x = 9,807,127.26/3,285.80
  6. Step 6: Final answer
    x = 2,984.70

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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.