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Finding the Fourth Proportional to 2,714.14, 4,071.21 and 982.78

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Solution

The fourth proportional to 2,714.14, 4,071.21 and 982.78 is: 1,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.14 : 4,071.21 = 982.78 : x
  2. Step 2: Convert to fraction form
    2,714.14/4,071.21 = 982.78/x
  3. Step 3: Cross multiply
    2,714.14x = 4,071.21 × 982.78
  4. Step 4: Simplify right side
    2,714.14x = 4,001,103.76
  5. Step 5: Solve for x
    x = 4,001,103.76/2,714.14
  6. Step 6: Final answer
    x = 1,474.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.