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Finding the Fourth Proportional to 2,495.19, 3,741.90 and 851.34

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Solution

The fourth proportional to 2,495.19, 3,741.90 and 851.34 is: 1,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.19 : 3,741.90 = 851.34 : x
  2. Step 2: Convert to fraction form
    2,495.19/3,741.90 = 851.34/x
  3. Step 3: Cross multiply
    2,495.19x = 3,741.90 × 851.34
  4. Step 4: Simplify right side
    2,495.19x = 3,185,629.15
  5. Step 5: Solve for x
    x = 3,185,629.15/2,495.19
  6. Step 6: Final answer
    x = 1,276.71

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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.