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Finding the Fourth Proportional to 1,584.58, 2,186.36 and 994.90

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Solution

The fourth proportional to 1,584.58, 2,186.36 and 994.90 is: 1,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.58 : 2,186.36 = 994.90 : x
  2. Step 2: Convert to fraction form
    1,584.58/2,186.36 = 994.90/x
  3. Step 3: Cross multiply
    1,584.58x = 2,186.36 × 994.90
  4. Step 4: Simplify right side
    1,584.58x = 2,175,198.63
  5. Step 5: Solve for x
    x = 2,175,198.63/1,584.58
  6. Step 6: Final answer
    x = 1,372.73

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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.