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Finding the Fourth Proportional to 1,511.92, 2,257.30 and 1,419.22

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Solution

The fourth proportional to 1,511.92, 2,257.30 and 1,419.22 is: 2,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.92 : 2,257.30 = 1,419.22 : x
  2. Step 2: Convert to fraction form
    1,511.92/2,257.30 = 1,419.22/x
  3. Step 3: Cross multiply
    1,511.92x = 2,257.30 × 1,419.22
  4. Step 4: Simplify right side
    1,511.92x = 3,203,605.31
  5. Step 5: Solve for x
    x = 3,203,605.31/1,511.92
  6. Step 6: Final answer
    x = 2,118.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.