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Finding the Fourth Proportional to 1,770.72, 2,651.96 and 1,709.22

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Solution

The fourth proportional to 1,770.72, 2,651.96 and 1,709.22 is: 2,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.72 : 2,651.96 = 1,709.22 : x
  2. Step 2: Convert to fraction form
    1,770.72/2,651.96 = 1,709.22/x
  3. Step 3: Cross multiply
    1,770.72x = 2,651.96 × 1,709.22
  4. Step 4: Simplify right side
    1,770.72x = 4,532,783.07
  5. Step 5: Solve for x
    x = 4,532,783.07/1,770.72
  6. Step 6: Final answer
    x = 2,559.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.