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Finding the Fourth Proportional to 1,770.38, 2,654.40 and 990.46

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Solution

The fourth proportional to 1,770.38, 2,654.40 and 990.46 is: 1,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.38 : 2,654.40 = 990.46 : x
  2. Step 2: Convert to fraction form
    1,770.38/2,654.40 = 990.46/x
  3. Step 3: Cross multiply
    1,770.38x = 2,654.40 × 990.46
  4. Step 4: Simplify right side
    1,770.38x = 2,629,063.75
  5. Step 5: Solve for x
    x = 2,629,063.75/1,770.38
  6. Step 6: Final answer
    x = 1,485.03

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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.