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Finding the Fourth Proportional to 1,949.69, 2,676.96 and 1,898.94

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Solution

The fourth proportional to 1,949.69, 2,676.96 and 1,898.94 is: 2,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.69 : 2,676.96 = 1,898.94 : x
  2. Step 2: Convert to fraction form
    1,949.69/2,676.96 = 1,898.94/x
  3. Step 3: Cross multiply
    1,949.69x = 2,676.96 × 1,898.94
  4. Step 4: Simplify right side
    1,949.69x = 5,083,386.42
  5. Step 5: Solve for x
    x = 5,083,386.42/1,949.69
  6. Step 6: Final answer
    x = 2,607.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.