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Finding the Fourth Proportional to 2,243.64, 3,364.41 and 782.61

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Solution

The fourth proportional to 2,243.64, 3,364.41 and 782.61 is: 1,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.64 : 3,364.41 = 782.61 : x
  2. Step 2: Convert to fraction form
    2,243.64/3,364.41 = 782.61/x
  3. Step 3: Cross multiply
    2,243.64x = 3,364.41 × 782.61
  4. Step 4: Simplify right side
    2,243.64x = 2,633,020.91
  5. Step 5: Solve for x
    x = 2,633,020.91/2,243.64
  6. Step 6: Final answer
    x = 1,173.55

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Why These Related Problems?

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