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Finding the Fourth Proportional to 2,996.95, 4,495.14 and 1,049.05

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Solution

The fourth proportional to 2,996.95, 4,495.14 and 1,049.05 is: 1,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.95 : 4,495.14 = 1,049.05 : x
  2. Step 2: Convert to fraction form
    2,996.95/4,495.14 = 1,049.05/x
  3. Step 3: Cross multiply
    2,996.95x = 4,495.14 × 1,049.05
  4. Step 4: Simplify right side
    2,996.95x = 4,715,626.62
  5. Step 5: Solve for x
    x = 4,715,626.62/2,996.95
  6. Step 6: Final answer
    x = 1,573.48

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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.