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Finding the Fourth Proportional to 2,519.02, 3,774.75 and 1,968.76

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Solution

The fourth proportional to 2,519.02, 3,774.75 and 1,968.76 is: 2,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.02 : 3,774.75 = 1,968.76 : x
  2. Step 2: Convert to fraction form
    2,519.02/3,774.75 = 1,968.76/x
  3. Step 3: Cross multiply
    2,519.02x = 3,774.75 × 1,968.76
  4. Step 4: Simplify right side
    2,519.02x = 7,431,576.81
  5. Step 5: Solve for x
    x = 7,431,576.81/2,519.02
  6. Step 6: Final answer
    x = 2,950.19

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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.