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Finding the Fourth Proportional to 2,385.73, 3,578.07 and 1,214.49

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Solution

The fourth proportional to 2,385.73, 3,578.07 and 1,214.49 is: 1,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.73 : 3,578.07 = 1,214.49 : x
  2. Step 2: Convert to fraction form
    2,385.73/3,578.07 = 1,214.49/x
  3. Step 3: Cross multiply
    2,385.73x = 3,578.07 × 1,214.49
  4. Step 4: Simplify right side
    2,385.73x = 4,345,530.23
  5. Step 5: Solve for x
    x = 4,345,530.23/2,385.73
  6. Step 6: Final answer
    x = 1,821.47

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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.