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Finding the Fourth Proportional to 2,494.19, 3,740.86 and 739.16

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Solution

The fourth proportional to 2,494.19, 3,740.86 and 739.16 is: 1,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.19 : 3,740.86 = 739.16 : x
  2. Step 2: Convert to fraction form
    2,494.19/3,740.86 = 739.16/x
  3. Step 3: Cross multiply
    2,494.19x = 3,740.86 × 739.16
  4. Step 4: Simplify right side
    2,494.19x = 2,765,071.68
  5. Step 5: Solve for x
    x = 2,765,071.68/2,494.19
  6. Step 6: Final answer
    x = 1,108.61

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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.