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Finding the Fourth Proportional to 1,536.16, 2,119.82 and 873

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Solution

The fourth proportional to 1,536.16, 2,119.82 and 873 is: 1,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.16 : 2,119.82 = 873 : x
  2. Step 2: Convert to fraction form
    1,536.16/2,119.82 = 873/x
  3. Step 3: Cross multiply
    1,536.16x = 2,119.82 × 873
  4. Step 4: Simplify right side
    1,536.16x = 1,850,602.86
  5. Step 5: Solve for x
    x = 1,850,602.86/1,536.16
  6. Step 6: Final answer
    x = 1,204.69

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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.