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Finding the Fourth Proportional to 1,770.11, 2,443.42 and 1,520.43

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Solution

The fourth proportional to 1,770.11, 2,443.42 and 1,520.43 is: 2,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.11 : 2,443.42 = 1,520.43 : x
  2. Step 2: Convert to fraction form
    1,770.11/2,443.42 = 1,520.43/x
  3. Step 3: Cross multiply
    1,770.11x = 2,443.42 × 1,520.43
  4. Step 4: Simplify right side
    1,770.11x = 3,715,049.07
  5. Step 5: Solve for x
    x = 3,715,049.07/1,770.11
  6. Step 6: Final answer
    x = 2,098.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.