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Finding the Fourth Proportional to 1,980.06, 2,968.74 and 939.48

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Solution

The fourth proportional to 1,980.06, 2,968.74 and 939.48 is: 1,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.06 : 2,968.74 = 939.48 : x
  2. Step 2: Convert to fraction form
    1,980.06/2,968.74 = 939.48/x
  3. Step 3: Cross multiply
    1,980.06x = 2,968.74 × 939.48
  4. Step 4: Simplify right side
    1,980.06x = 2,789,071.86
  5. Step 5: Solve for x
    x = 2,789,071.86/1,980.06
  6. Step 6: Final answer
    x = 1,408.58

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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.