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Finding the Fourth Proportional to 1,584.68, 2,186.28 and 995

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Solution

The fourth proportional to 1,584.68, 2,186.28 and 995 is: 1,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.68 : 2,186.28 = 995 : x
  2. Step 2: Convert to fraction form
    1,584.68/2,186.28 = 995/x
  3. Step 3: Cross multiply
    1,584.68x = 2,186.28 × 995
  4. Step 4: Simplify right side
    1,584.68x = 2,175,348.60
  5. Step 5: Solve for x
    x = 2,175,348.60/1,584.68
  6. Step 6: Final answer
    x = 1,372.74

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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.