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Finding the Fourth Proportional to 1,838.27, 2,536.84 and 998.99

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Solution

The fourth proportional to 1,838.27, 2,536.84 and 998.99 is: 1,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.27 : 2,536.84 = 998.99 : x
  2. Step 2: Convert to fraction form
    1,838.27/2,536.84 = 998.99/x
  3. Step 3: Cross multiply
    1,838.27x = 2,536.84 × 998.99
  4. Step 4: Simplify right side
    1,838.27x = 2,534,270.25
  5. Step 5: Solve for x
    x = 2,534,270.25/1,838.27
  6. Step 6: Final answer
    x = 1,378.62

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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.