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Finding the Fourth Proportional to 2,446.82, 3,670.83 and 1,214.81

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Solution

The fourth proportional to 2,446.82, 3,670.83 and 1,214.81 is: 1,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.82 : 3,670.83 = 1,214.81 : x
  2. Step 2: Convert to fraction form
    2,446.82/3,670.83 = 1,214.81/x
  3. Step 3: Cross multiply
    2,446.82x = 3,670.83 × 1,214.81
  4. Step 4: Simplify right side
    2,446.82x = 4,459,360.99
  5. Step 5: Solve for x
    x = 4,459,360.99/2,446.82
  6. Step 6: Final answer
    x = 1,822.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.