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Finding the Fourth Proportional to 2,554.82, 3,832.13 and 706.04

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Solution

The fourth proportional to 2,554.82, 3,832.13 and 706.04 is: 1,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.82 : 3,832.13 = 706.04 : x
  2. Step 2: Convert to fraction form
    2,554.82/3,832.13 = 706.04/x
  3. Step 3: Cross multiply
    2,554.82x = 3,832.13 × 706.04
  4. Step 4: Simplify right side
    2,554.82x = 2,705,617.90
  5. Step 5: Solve for x
    x = 2,705,617.90/2,554.82
  6. Step 6: Final answer
    x = 1,059.03

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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.