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Finding the Fourth Proportional to 2,116.65, 3,174.09 and 800.19

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Solution

The fourth proportional to 2,116.65, 3,174.09 and 800.19 is: 1,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.65 : 3,174.09 = 800.19 : x
  2. Step 2: Convert to fraction form
    2,116.65/3,174.09 = 800.19/x
  3. Step 3: Cross multiply
    2,116.65x = 3,174.09 × 800.19
  4. Step 4: Simplify right side
    2,116.65x = 2,539,859.21
  5. Step 5: Solve for x
    x = 2,539,859.21/2,116.65
  6. Step 6: Final answer
    x = 1,199.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.