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Finding the Fourth Proportional to 2,242.97, 3,364.79 and 682.91

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Solution

The fourth proportional to 2,242.97, 3,364.79 and 682.91 is: 1,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.97 : 3,364.79 = 682.91 : x
  2. Step 2: Convert to fraction form
    2,242.97/3,364.79 = 682.91/x
  3. Step 3: Cross multiply
    2,242.97x = 3,364.79 × 682.91
  4. Step 4: Simplify right side
    2,242.97x = 2,297,835.50
  5. Step 5: Solve for x
    x = 2,297,835.50/2,242.97
  6. Step 6: Final answer
    x = 1,024.46

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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.