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Finding the Fourth Proportional to 1,832.36, 2,748.42 and 678

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Solution

The fourth proportional to 1,832.36, 2,748.42 and 678 is: 1,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.36 : 2,748.42 = 678 : x
  2. Step 2: Convert to fraction form
    1,832.36/2,748.42 = 678/x
  3. Step 3: Cross multiply
    1,832.36x = 2,748.42 × 678
  4. Step 4: Simplify right side
    1,832.36x = 1,863,428.76
  5. Step 5: Solve for x
    x = 1,863,428.76/1,832.36
  6. Step 6: Final answer
    x = 1,016.96

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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.