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Finding the Fourth Proportional to 2,050.45, 3,076.04 and 663.66

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Solution

The fourth proportional to 2,050.45, 3,076.04 and 663.66 is: 995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.45 : 3,076.04 = 663.66 : x
  2. Step 2: Convert to fraction form
    2,050.45/3,076.04 = 663.66/x
  3. Step 3: Cross multiply
    2,050.45x = 3,076.04 × 663.66
  4. Step 4: Simplify right side
    2,050.45x = 2,041,446.37
  5. Step 5: Solve for x
    x = 2,041,446.37/2,050.45
  6. Step 6: Final answer
    x = 995.61

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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.