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Finding the Fourth Proportional to 1,814.40, 2,720.72 and 937.33

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Solution

The fourth proportional to 1,814.40, 2,720.72 and 937.33 is: 1,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.40 : 2,720.72 = 937.33 : x
  2. Step 2: Convert to fraction form
    1,814.40/2,720.72 = 937.33/x
  3. Step 3: Cross multiply
    1,814.40x = 2,720.72 × 937.33
  4. Step 4: Simplify right side
    1,814.40x = 2,550,212.48
  5. Step 5: Solve for x
    x = 2,550,212.48/1,814.40
  6. Step 6: Final answer
    x = 1,405.54

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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.