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Finding the Fourth Proportional to 2,509.22, 3,769.59 and 1,770.53

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Solution

The fourth proportional to 2,509.22, 3,769.59 and 1,770.53 is: 2,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.22 : 3,769.59 = 1,770.53 : x
  2. Step 2: Convert to fraction form
    2,509.22/3,769.59 = 1,770.53/x
  3. Step 3: Cross multiply
    2,509.22x = 3,769.59 × 1,770.53
  4. Step 4: Simplify right side
    2,509.22x = 6,674,153.33
  5. Step 5: Solve for x
    x = 6,674,153.33/2,509.22
  6. Step 6: Final answer
    x = 2,659.86

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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.