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Finding the Fourth Proportional to 2,124.42, 3,186.90 and 663.66

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Solution

The fourth proportional to 2,124.42, 3,186.90 and 663.66 is: 995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.42 : 3,186.90 = 663.66 : x
  2. Step 2: Convert to fraction form
    2,124.42/3,186.90 = 663.66/x
  3. Step 3: Cross multiply
    2,124.42x = 3,186.90 × 663.66
  4. Step 4: Simplify right side
    2,124.42x = 2,115,018.05
  5. Step 5: Solve for x
    x = 2,115,018.05/2,124.42
  6. Step 6: Final answer
    x = 995.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.