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Finding the Fourth Proportional to 2,247.33, 3,370.86 and 841.47

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Solution

The fourth proportional to 2,247.33, 3,370.86 and 841.47 is: 1,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.33 : 3,370.86 = 841.47 : x
  2. Step 2: Convert to fraction form
    2,247.33/3,370.86 = 841.47/x
  3. Step 3: Cross multiply
    2,247.33x = 3,370.86 × 841.47
  4. Step 4: Simplify right side
    2,247.33x = 2,836,477.56
  5. Step 5: Solve for x
    x = 2,836,477.56/2,247.33
  6. Step 6: Final answer
    x = 1,262.15

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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.