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Finding the Fourth Proportional to 2,446.84, 3,376.63 and 1,327.78

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Solution

The fourth proportional to 2,446.84, 3,376.63 and 1,327.78 is: 1,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.84 : 3,376.63 = 1,327.78 : x
  2. Step 2: Convert to fraction form
    2,446.84/3,376.63 = 1,327.78/x
  3. Step 3: Cross multiply
    2,446.84x = 3,376.63 × 1,327.78
  4. Step 4: Simplify right side
    2,446.84x = 4,483,421.78
  5. Step 5: Solve for x
    x = 4,483,421.78/2,446.84
  6. Step 6: Final answer
    x = 1,832.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.