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Finding the Fourth Proportional to 2,626.06, 3,938.70 and 982.30

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Solution

The fourth proportional to 2,626.06, 3,938.70 and 982.30 is: 1,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.06 : 3,938.70 = 982.30 : x
  2. Step 2: Convert to fraction form
    2,626.06/3,938.70 = 982.30/x
  3. Step 3: Cross multiply
    2,626.06x = 3,938.70 × 982.30
  4. Step 4: Simplify right side
    2,626.06x = 3,868,985.01
  5. Step 5: Solve for x
    x = 3,868,985.01/2,626.06
  6. Step 6: Final answer
    x = 1,473.30

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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.