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Finding the Fourth Proportional to 1,518.41, 2,096.31 and 995.35

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Solution

The fourth proportional to 1,518.41, 2,096.31 and 995.35 is: 1,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.41 : 2,096.31 = 995.35 : x
  2. Step 2: Convert to fraction form
    1,518.41/2,096.31 = 995.35/x
  3. Step 3: Cross multiply
    1,518.41x = 2,096.31 × 995.35
  4. Step 4: Simplify right side
    1,518.41x = 2,086,564.65
  5. Step 5: Solve for x
    x = 2,086,564.65/1,518.41
  6. Step 6: Final answer
    x = 1,374.18

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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.