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Finding the Fourth Proportional to 2,523.88, 3,785.73 and 1,225

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Solution

The fourth proportional to 2,523.88, 3,785.73 and 1,225 is: 1,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.88 : 3,785.73 = 1,225 : x
  2. Step 2: Convert to fraction form
    2,523.88/3,785.73 = 1,225/x
  3. Step 3: Cross multiply
    2,523.88x = 3,785.73 × 1,225
  4. Step 4: Simplify right side
    2,523.88x = 4,637,519.25
  5. Step 5: Solve for x
    x = 4,637,519.25/2,523.88
  6. Step 6: Final answer
    x = 1,837.46

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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.