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Finding the Fourth Proportional to 2,124.30, 3,186.12 and 663.24

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Solution

The fourth proportional to 2,124.30, 3,186.12 and 663.24 is: 994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.30 : 3,186.12 = 663.24 : x
  2. Step 2: Convert to fraction form
    2,124.30/3,186.12 = 663.24/x
  3. Step 3: Cross multiply
    2,124.30x = 3,186.12 × 663.24
  4. Step 4: Simplify right side
    2,124.30x = 2,113,162.23
  5. Step 5: Solve for x
    x = 2,113,162.23/2,124.30
  6. Step 6: Final answer
    x = 994.76

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