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Finding the Fourth Proportional to 2,980.12, 4,112.76 and 2,047

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Solution

The fourth proportional to 2,980.12, 4,112.76 and 2,047 is: 2,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.12 : 4,112.76 = 2,047 : x
  2. Step 2: Convert to fraction form
    2,980.12/4,112.76 = 2,047/x
  3. Step 3: Cross multiply
    2,980.12x = 4,112.76 × 2,047
  4. Step 4: Simplify right side
    2,980.12x = 8,418,819.72
  5. Step 5: Solve for x
    x = 8,418,819.72/2,980.12
  6. Step 6: Final answer
    x = 2,824.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.