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Finding the Fourth Proportional to 1,849.69, 2,770.17 and 970.09

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Solution

The fourth proportional to 1,849.69, 2,770.17 and 970.09 is: 1,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.69 : 2,770.17 = 970.09 : x
  2. Step 2: Convert to fraction form
    1,849.69/2,770.17 = 970.09/x
  3. Step 3: Cross multiply
    1,849.69x = 2,770.17 × 970.09
  4. Step 4: Simplify right side
    1,849.69x = 2,687,314.22
  5. Step 5: Solve for x
    x = 2,687,314.22/1,849.69
  6. Step 6: Final answer
    x = 1,452.85

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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.