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Finding the Fourth Proportional to 3,049.74, 4,580.86 and 2,011.24

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Solution

The fourth proportional to 3,049.74, 4,580.86 and 2,011.24 is: 3,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.74 : 4,580.86 = 2,011.24 : x
  2. Step 2: Convert to fraction form
    3,049.74/4,580.86 = 2,011.24/x
  3. Step 3: Cross multiply
    3,049.74x = 4,580.86 × 2,011.24
  4. Step 4: Simplify right side
    3,049.74x = 9,213,208.87
  5. Step 5: Solve for x
    x = 9,213,208.87/3,049.74
  6. Step 6: Final answer
    x = 3,020.98

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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.