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Finding the Fourth Proportional to 2,124.16, 3,186.48 and 663.20

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Solution

The fourth proportional to 2,124.16, 3,186.48 and 663.20 is: 994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.16 : 3,186.48 = 663.20 : x
  2. Step 2: Convert to fraction form
    2,124.16/3,186.48 = 663.20/x
  3. Step 3: Cross multiply
    2,124.16x = 3,186.48 × 663.20
  4. Step 4: Simplify right side
    2,124.16x = 2,113,273.54
  5. Step 5: Solve for x
    x = 2,113,273.54/2,124.16
  6. Step 6: Final answer
    x = 994.87

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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.