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Finding the Fourth Proportional to 1,536.12, 2,119.84 and 872.93

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Solution

The fourth proportional to 1,536.12, 2,119.84 and 872.93 is: 1,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.12 : 2,119.84 = 872.93 : x
  2. Step 2: Convert to fraction form
    1,536.12/2,119.84 = 872.93/x
  3. Step 3: Cross multiply
    1,536.12x = 2,119.84 × 872.93
  4. Step 4: Simplify right side
    1,536.12x = 1,850,475.05
  5. Step 5: Solve for x
    x = 1,850,475.05/1,536.12
  6. Step 6: Final answer
    x = 1,204.64

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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.