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Finding the Fourth Proportional to 1,476.26, 2,209.80 and 982.88

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Solution

The fourth proportional to 1,476.26, 2,209.80 and 982.88 is: 1,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.26 : 2,209.80 = 982.88 : x
  2. Step 2: Convert to fraction form
    1,476.26/2,209.80 = 982.88/x
  3. Step 3: Cross multiply
    1,476.26x = 2,209.80 × 982.88
  4. Step 4: Simplify right side
    1,476.26x = 2,171,968.22
  5. Step 5: Solve for x
    x = 2,171,968.22/1,476.26
  6. Step 6: Final answer
    x = 1,471.26

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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.