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Finding the Fourth Proportional to 2,280.49, 3,418.20 and 893.57

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Solution

The fourth proportional to 2,280.49, 3,418.20 and 893.57 is: 1,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.49 : 3,418.20 = 893.57 : x
  2. Step 2: Convert to fraction form
    2,280.49/3,418.20 = 893.57/x
  3. Step 3: Cross multiply
    2,280.49x = 3,418.20 × 893.57
  4. Step 4: Simplify right side
    2,280.49x = 3,054,383.88
  5. Step 5: Solve for x
    x = 3,054,383.88/2,280.49
  6. Step 6: Final answer
    x = 1,339.36

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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.