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Finding the Fourth Proportional to 1,999.76, 2,757.93 and 1,336.10

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Solution

The fourth proportional to 1,999.76, 2,757.93 and 1,336.10 is: 1,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.76 : 2,757.93 = 1,336.10 : x
  2. Step 2: Convert to fraction form
    1,999.76/2,757.93 = 1,336.10/x
  3. Step 3: Cross multiply
    1,999.76x = 2,757.93 × 1,336.10
  4. Step 4: Simplify right side
    1,999.76x = 3,684,870.27
  5. Step 5: Solve for x
    x = 3,684,870.27/1,999.76
  6. Step 6: Final answer
    x = 1,842.66

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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.