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Finding the Fourth Proportional to 3,853.94, 5,780.82 and 1,256.90

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Solution

The fourth proportional to 3,853.94, 5,780.82 and 1,256.90 is: 1,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.94 : 5,780.82 = 1,256.90 : x
  2. Step 2: Convert to fraction form
    3,853.94/5,780.82 = 1,256.90/x
  3. Step 3: Cross multiply
    3,853.94x = 5,780.82 × 1,256.90
  4. Step 4: Simplify right side
    3,853.94x = 7,265,912.66
  5. Step 5: Solve for x
    x = 7,265,912.66/3,853.94
  6. Step 6: Final answer
    x = 1,885.32

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1.5x scale

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.