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Finding the Fourth Proportional to 2,789.88, 3,850.14 and 1,548.12

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Solution

The fourth proportional to 2,789.88, 3,850.14 and 1,548.12 is: 2,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.88 : 3,850.14 = 1,548.12 : x
  2. Step 2: Convert to fraction form
    2,789.88/3,850.14 = 1,548.12/x
  3. Step 3: Cross multiply
    2,789.88x = 3,850.14 × 1,548.12
  4. Step 4: Simplify right side
    2,789.88x = 5,960,478.74
  5. Step 5: Solve for x
    x = 5,960,478.74/2,789.88
  6. Step 6: Final answer
    x = 2,136.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.