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Finding the Fourth Proportional to 2,713.80, 4,069.62 and 982.02

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Solution

The fourth proportional to 2,713.80, 4,069.62 and 982.02 is: 1,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.80 : 4,069.62 = 982.02 : x
  2. Step 2: Convert to fraction form
    2,713.80/4,069.62 = 982.02/x
  3. Step 3: Cross multiply
    2,713.80x = 4,069.62 × 982.02
  4. Step 4: Simplify right side
    2,713.80x = 3,996,448.23
  5. Step 5: Solve for x
    x = 3,996,448.23/2,713.80
  6. Step 6: Final answer
    x = 1,472.64

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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.