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Finding the Fourth Proportional to 1,770.43, 2,654.42 and 845.34

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Solution

The fourth proportional to 1,770.43, 2,654.42 and 845.34 is: 1,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.43 : 2,654.42 = 845.34 : x
  2. Step 2: Convert to fraction form
    1,770.43/2,654.42 = 845.34/x
  3. Step 3: Cross multiply
    1,770.43x = 2,654.42 × 845.34
  4. Step 4: Simplify right side
    1,770.43x = 2,243,883.18
  5. Step 5: Solve for x
    x = 2,243,883.18/1,770.43
  6. Step 6: Final answer
    x = 1,267.42

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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.