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Finding the Fourth Proportional to 2,461.33, 3,694.52 and 1,919.44

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Solution

The fourth proportional to 2,461.33, 3,694.52 and 1,919.44 is: 2,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.33 : 3,694.52 = 1,919.44 : x
  2. Step 2: Convert to fraction form
    2,461.33/3,694.52 = 1,919.44/x
  3. Step 3: Cross multiply
    2,461.33x = 3,694.52 × 1,919.44
  4. Step 4: Simplify right side
    2,461.33x = 7,091,409.47
  5. Step 5: Solve for x
    x = 7,091,409.47/2,461.33
  6. Step 6: Final answer
    x = 2,881.13

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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.