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Finding the Fourth Proportional to 2,124.27, 3,186.40 and 663.53

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Solution

The fourth proportional to 2,124.27, 3,186.40 and 663.53 is: 995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.27 : 3,186.40 = 663.53 : x
  2. Step 2: Convert to fraction form
    2,124.27/3,186.40 = 663.53/x
  3. Step 3: Cross multiply
    2,124.27x = 3,186.40 × 663.53
  4. Step 4: Simplify right side
    2,124.27x = 2,114,278.30
  5. Step 5: Solve for x
    x = 2,114,278.30/2,124.27
  6. Step 6: Final answer
    x = 995.30

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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.