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Finding the Fourth Proportional to 2,714.56, 4,071.20 and 982.56

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Solution

The fourth proportional to 2,714.56, 4,071.20 and 982.56 is: 1,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.56 : 4,071.20 = 982.56 : x
  2. Step 2: Convert to fraction form
    2,714.56/4,071.20 = 982.56/x
  3. Step 3: Cross multiply
    2,714.56x = 4,071.20 × 982.56
  4. Step 4: Simplify right side
    2,714.56x = 4,000,198.27
  5. Step 5: Solve for x
    x = 4,000,198.27/2,714.56
  6. Step 6: Final answer
    x = 1,473.61

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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.