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Finding the Fourth Proportional to 2,714, 4,070.24 and 982.24

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Solution

The fourth proportional to 2,714, 4,070.24 and 982.24 is: 1,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714 : 4,070.24 = 982.24 : x
  2. Step 2: Convert to fraction form
    2,714/4,070.24 = 982.24/x
  3. Step 3: Cross multiply
    2,714x = 4,070.24 × 982.24
  4. Step 4: Simplify right side
    2,714x = 3,997,952.54
  5. Step 5: Solve for x
    x = 3,997,952.54/2,714
  6. Step 6: Final answer
    x = 1,473.08

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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.