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Finding the Fourth Proportional to 1,536.75, 2,120.73 and 838.14

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Solution

The fourth proportional to 1,536.75, 2,120.73 and 838.14 is: 1,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.75 : 2,120.73 = 838.14 : x
  2. Step 2: Convert to fraction form
    1,536.75/2,120.73 = 838.14/x
  3. Step 3: Cross multiply
    1,536.75x = 2,120.73 × 838.14
  4. Step 4: Simplify right side
    1,536.75x = 1,777,468.64
  5. Step 5: Solve for x
    x = 1,777,468.64/1,536.75
  6. Step 6: Final answer
    x = 1,156.64

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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.