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Finding the Fourth Proportional to 1,770.04, 2,654.11 and 844.75

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Solution

The fourth proportional to 1,770.04, 2,654.11 and 844.75 is: 1,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.04 : 2,654.11 = 844.75 : x
  2. Step 2: Convert to fraction form
    1,770.04/2,654.11 = 844.75/x
  3. Step 3: Cross multiply
    1,770.04x = 2,654.11 × 844.75
  4. Step 4: Simplify right side
    1,770.04x = 2,242,059.42
  5. Step 5: Solve for x
    x = 2,242,059.42/1,770.04
  6. Step 6: Final answer
    x = 1,266.67

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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.