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Finding the Fourth Proportional to 2,238.53, 3,357.74 and 939.08

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Solution

The fourth proportional to 2,238.53, 3,357.74 and 939.08 is: 1,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.53 : 3,357.74 = 939.08 : x
  2. Step 2: Convert to fraction form
    2,238.53/3,357.74 = 939.08/x
  3. Step 3: Cross multiply
    2,238.53x = 3,357.74 × 939.08
  4. Step 4: Simplify right side
    2,238.53x = 3,153,165.00
  5. Step 5: Solve for x
    x = 3,153,165.00/2,238.53
  6. Step 6: Final answer
    x = 1,408.59

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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.