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Finding the Fourth Proportional to 1,677.85, 2,316.99 and 1,081.38

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Solution

The fourth proportional to 1,677.85, 2,316.99 and 1,081.38 is: 1,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.85 : 2,316.99 = 1,081.38 : x
  2. Step 2: Convert to fraction form
    1,677.85/2,316.99 = 1,081.38/x
  3. Step 3: Cross multiply
    1,677.85x = 2,316.99 × 1,081.38
  4. Step 4: Simplify right side
    1,677.85x = 2,505,546.65
  5. Step 5: Solve for x
    x = 2,505,546.65/1,677.85
  6. Step 6: Final answer
    x = 1,493.31

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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.