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Finding the Fourth Proportional to 1,585.04, 2,186.39 and 995.09

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Solution

The fourth proportional to 1,585.04, 2,186.39 and 995.09 is: 1,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.04 : 2,186.39 = 995.09 : x
  2. Step 2: Convert to fraction form
    1,585.04/2,186.39 = 995.09/x
  3. Step 3: Cross multiply
    1,585.04x = 2,186.39 × 995.09
  4. Step 4: Simplify right side
    1,585.04x = 2,175,646.38
  5. Step 5: Solve for x
    x = 2,175,646.38/1,585.04
  6. Step 6: Final answer
    x = 1,372.62

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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.