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Finding the Fourth Proportional to 2,481.54, 3,720.78 and 837.93

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Solution

The fourth proportional to 2,481.54, 3,720.78 and 837.93 is: 1,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.54 : 3,720.78 = 837.93 : x
  2. Step 2: Convert to fraction form
    2,481.54/3,720.78 = 837.93/x
  3. Step 3: Cross multiply
    2,481.54x = 3,720.78 × 837.93
  4. Step 4: Simplify right side
    2,481.54x = 3,117,753.19
  5. Step 5: Solve for x
    x = 3,117,753.19/2,481.54
  6. Step 6: Final answer
    x = 1,256.38

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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.