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Finding the Fourth Proportional to 1,770.59, 2,651.77 and 1,709.09

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Solution

The fourth proportional to 1,770.59, 2,651.77 and 1,709.09 is: 2,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.59 : 2,651.77 = 1,709.09 : x
  2. Step 2: Convert to fraction form
    1,770.59/2,651.77 = 1,709.09/x
  3. Step 3: Cross multiply
    1,770.59x = 2,651.77 × 1,709.09
  4. Step 4: Simplify right side
    1,770.59x = 4,532,096.06
  5. Step 5: Solve for x
    x = 4,532,096.06/1,770.59
  6. Step 6: Final answer
    x = 2,559.66

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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.