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Finding the Fourth Proportional to 1,536.82, 2,121.39 and 1,042.01

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Solution

The fourth proportional to 1,536.82, 2,121.39 and 1,042.01 is: 1,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.82 : 2,121.39 = 1,042.01 : x
  2. Step 2: Convert to fraction form
    1,536.82/2,121.39 = 1,042.01/x
  3. Step 3: Cross multiply
    1,536.82x = 2,121.39 × 1,042.01
  4. Step 4: Simplify right side
    1,536.82x = 2,210,518.87
  5. Step 5: Solve for x
    x = 2,210,518.87/1,536.82
  6. Step 6: Final answer
    x = 1,438.37

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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.