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Finding the Fourth Proportional to 2,495.05, 3,741.27 and 739.81

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Solution

The fourth proportional to 2,495.05, 3,741.27 and 739.81 is: 1,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.05 : 3,741.27 = 739.81 : x
  2. Step 2: Convert to fraction form
    2,495.05/3,741.27 = 739.81/x
  3. Step 3: Cross multiply
    2,495.05x = 3,741.27 × 739.81
  4. Step 4: Simplify right side
    2,495.05x = 2,767,845.41
  5. Step 5: Solve for x
    x = 2,767,845.41/2,495.05
  6. Step 6: Final answer
    x = 1,109.33

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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.