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Finding the Fourth Proportional to 2,456.46, 3,685.26 and 701.48

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Solution

The fourth proportional to 2,456.46, 3,685.26 and 701.48 is: 1,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.46 : 3,685.26 = 701.48 : x
  2. Step 2: Convert to fraction form
    2,456.46/3,685.26 = 701.48/x
  3. Step 3: Cross multiply
    2,456.46x = 3,685.26 × 701.48
  4. Step 4: Simplify right side
    2,456.46x = 2,585,136.18
  5. Step 5: Solve for x
    x = 2,585,136.18/2,456.46
  6. Step 6: Final answer
    x = 1,052.38

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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.