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Finding the Fourth Proportional to 2,770.02, 3,823.26 and 1,651.56

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Solution

The fourth proportional to 2,770.02, 3,823.26 and 1,651.56 is: 2,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.02 : 3,823.26 = 1,651.56 : x
  2. Step 2: Convert to fraction form
    2,770.02/3,823.26 = 1,651.56/x
  3. Step 3: Cross multiply
    2,770.02x = 3,823.26 × 1,651.56
  4. Step 4: Simplify right side
    2,770.02x = 6,314,343.29
  5. Step 5: Solve for x
    x = 6,314,343.29/2,770.02
  6. Step 6: Final answer
    x = 2,279.53

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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.