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Finding the Fourth Proportional to 3,476.67, 4,798.20 and 1,984.80

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Solution

The fourth proportional to 3,476.67, 4,798.20 and 1,984.80 is: 2,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.67 : 4,798.20 = 1,984.80 : x
  2. Step 2: Convert to fraction form
    3,476.67/4,798.20 = 1,984.80/x
  3. Step 3: Cross multiply
    3,476.67x = 4,798.20 × 1,984.80
  4. Step 4: Simplify right side
    3,476.67x = 9,523,467.36
  5. Step 5: Solve for x
    x = 9,523,467.36/3,476.67
  6. Step 6: Final answer
    x = 2,739.25

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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.