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Finding the Fourth Proportional to 2,486.10, 3,431.86 and 1,678.70

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Solution

The fourth proportional to 2,486.10, 3,431.86 and 1,678.70 is: 2,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.10 : 3,431.86 = 1,678.70 : x
  2. Step 2: Convert to fraction form
    2,486.10/3,431.86 = 1,678.70/x
  3. Step 3: Cross multiply
    2,486.10x = 3,431.86 × 1,678.70
  4. Step 4: Simplify right side
    2,486.10x = 5,761,063.38
  5. Step 5: Solve for x
    x = 5,761,063.38/2,486.10
  6. Step 6: Final answer
    x = 2,317.31

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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.