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Finding the Fourth Proportional to 2,446.78, 3,670.58 and 1,214.23

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Solution

The fourth proportional to 2,446.78, 3,670.58 and 1,214.23 is: 1,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.78 : 3,670.58 = 1,214.23 : x
  2. Step 2: Convert to fraction form
    2,446.78/3,670.58 = 1,214.23/x
  3. Step 3: Cross multiply
    2,446.78x = 3,670.58 × 1,214.23
  4. Step 4: Simplify right side
    2,446.78x = 4,456,928.35
  5. Step 5: Solve for x
    x = 4,456,928.35/2,446.78
  6. Step 6: Final answer
    x = 1,821.55

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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.