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Finding the Fourth Proportional to 2,456.53, 3,685.03 and 701.60

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Solution

The fourth proportional to 2,456.53, 3,685.03 and 701.60 is: 1,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.53 : 3,685.03 = 701.60 : x
  2. Step 2: Convert to fraction form
    2,456.53/3,685.03 = 701.60/x
  3. Step 3: Cross multiply
    2,456.53x = 3,685.03 × 701.60
  4. Step 4: Simplify right side
    2,456.53x = 2,585,396.87
  5. Step 5: Solve for x
    x = 2,585,396.87/2,456.53
  6. Step 6: Final answer
    x = 1,052.46

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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.