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Finding the Fourth Proportional to 2,930.13, 4,394.68 and 982.33

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Solution

The fourth proportional to 2,930.13, 4,394.68 and 982.33 is: 1,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.13 : 4,394.68 = 982.33 : x
  2. Step 2: Convert to fraction form
    2,930.13/4,394.68 = 982.33/x
  3. Step 3: Cross multiply
    2,930.13x = 4,394.68 × 982.33
  4. Step 4: Simplify right side
    2,930.13x = 4,317,026.00
  5. Step 5: Solve for x
    x = 4,317,026.00/2,930.13
  6. Step 6: Final answer
    x = 1,473.32

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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.