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Finding the Fourth Proportional to 1,446.96, 1,996.56 and 857.46

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Solution

The fourth proportional to 1,446.96, 1,996.56 and 857.46 is: 1,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.96 : 1,996.56 = 857.46 : x
  2. Step 2: Convert to fraction form
    1,446.96/1,996.56 = 857.46/x
  3. Step 3: Cross multiply
    1,446.96x = 1,996.56 × 857.46
  4. Step 4: Simplify right side
    1,446.96x = 1,711,970.34
  5. Step 5: Solve for x
    x = 1,711,970.34/1,446.96
  6. Step 6: Final answer
    x = 1,183.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.