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Finding the Fourth Proportional to 2,227.69, 3,342.01 and 841.00

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Solution

The fourth proportional to 2,227.69, 3,342.01 and 841.00 is: 1,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.69 : 3,342.01 = 841.00 : x
  2. Step 2: Convert to fraction form
    2,227.69/3,342.01 = 841.00/x
  3. Step 3: Cross multiply
    2,227.69x = 3,342.01 × 841.00
  4. Step 4: Simplify right side
    2,227.69x = 2,810,624.27
  5. Step 5: Solve for x
    x = 2,810,624.27/2,227.69
  6. Step 6: Final answer
    x = 1,261.67

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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.