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Finding the Fourth Proportional to 2,438.44, 3,657.04 and 682.99

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Solution

The fourth proportional to 2,438.44, 3,657.04 and 682.99 is: 1,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.44 : 3,657.04 = 682.99 : x
  2. Step 2: Convert to fraction form
    2,438.44/3,657.04 = 682.99/x
  3. Step 3: Cross multiply
    2,438.44x = 3,657.04 × 682.99
  4. Step 4: Simplify right side
    2,438.44x = 2,497,710.56
  5. Step 5: Solve for x
    x = 2,497,710.56/2,438.44
  6. Step 6: Final answer
    x = 1,024.31

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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.