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Finding the Fourth Proportional to 2,242.31, 3,364.18 and 682.61

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Solution

The fourth proportional to 2,242.31, 3,364.18 and 682.61 is: 1,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.31 : 3,364.18 = 682.61 : x
  2. Step 2: Convert to fraction form
    2,242.31/3,364.18 = 682.61/x
  3. Step 3: Cross multiply
    2,242.31x = 3,364.18 × 682.61
  4. Step 4: Simplify right side
    2,242.31x = 2,296,421.47
  5. Step 5: Solve for x
    x = 2,296,421.47/2,242.31
  6. Step 6: Final answer
    x = 1,024.13

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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.