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Finding the Fourth Proportional to 2,714.26, 4,068.86 and 982.48

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Solution

The fourth proportional to 2,714.26, 4,068.86 and 982.48 is: 1,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.26 : 4,068.86 = 982.48 : x
  2. Step 2: Convert to fraction form
    2,714.26/4,068.86 = 982.48/x
  3. Step 3: Cross multiply
    2,714.26x = 4,068.86 × 982.48
  4. Step 4: Simplify right side
    2,714.26x = 3,997,573.57
  5. Step 5: Solve for x
    x = 3,997,573.57/2,714.26
  6. Step 6: Final answer
    x = 1,472.80

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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.