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Finding the Fourth Proportional to 1,770.81, 2,652.46 and 845.43

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Solution

The fourth proportional to 1,770.81, 2,652.46 and 845.43 is: 1,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.81 : 2,652.46 = 845.43 : x
  2. Step 2: Convert to fraction form
    1,770.81/2,652.46 = 845.43/x
  3. Step 3: Cross multiply
    1,770.81x = 2,652.46 × 845.43
  4. Step 4: Simplify right side
    1,770.81x = 2,242,469.26
  5. Step 5: Solve for x
    x = 2,242,469.26/1,770.81
  6. Step 6: Final answer
    x = 1,266.35

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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.