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Finding the Fourth Proportional to 1,536.62, 2,120.83 and 1,442.84

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Solution

The fourth proportional to 1,536.62, 2,120.83 and 1,442.84 is: 1,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.62 : 2,120.83 = 1,442.84 : x
  2. Step 2: Convert to fraction form
    1,536.62/2,120.83 = 1,442.84/x
  3. Step 3: Cross multiply
    1,536.62x = 2,120.83 × 1,442.84
  4. Step 4: Simplify right side
    1,536.62x = 3,060,018.36
  5. Step 5: Solve for x
    x = 3,060,018.36/1,536.62
  6. Step 6: Final answer
    x = 1,991.40

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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.