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Finding the Fourth Proportional to 2,495.46, 3,742.04 and 739.83

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Solution

The fourth proportional to 2,495.46, 3,742.04 and 739.83 is: 1,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.46 : 3,742.04 = 739.83 : x
  2. Step 2: Convert to fraction form
    2,495.46/3,742.04 = 739.83/x
  3. Step 3: Cross multiply
    2,495.46x = 3,742.04 × 739.83
  4. Step 4: Simplify right side
    2,495.46x = 2,768,469.75
  5. Step 5: Solve for x
    x = 2,768,469.75/2,495.46
  6. Step 6: Final answer
    x = 1,109.40

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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.