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Finding the Fourth Proportional to 1,536.39, 2,119.41 and 1,039.20

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Solution

The fourth proportional to 1,536.39, 2,119.41 and 1,039.20 is: 1,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.39 : 2,119.41 = 1,039.20 : x
  2. Step 2: Convert to fraction form
    1,536.39/2,119.41 = 1,039.20/x
  3. Step 3: Cross multiply
    1,536.39x = 2,119.41 × 1,039.20
  4. Step 4: Simplify right side
    1,536.39x = 2,202,485.57
  5. Step 5: Solve for x
    x = 2,202,485.57/1,536.39
  6. Step 6: Final answer
    x = 1,433.55

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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.