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Finding the Fourth Proportional to 2,580.36, 3,872.41 and 937.03

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Solution

The fourth proportional to 2,580.36, 3,872.41 and 937.03 is: 1,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.36 : 3,872.41 = 937.03 : x
  2. Step 2: Convert to fraction form
    2,580.36/3,872.41 = 937.03/x
  3. Step 3: Cross multiply
    2,580.36x = 3,872.41 × 937.03
  4. Step 4: Simplify right side
    2,580.36x = 3,628,564.34
  5. Step 5: Solve for x
    x = 3,628,564.34/2,580.36
  6. Step 6: Final answer
    x = 1,406.22

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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.