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Finding the Fourth Proportional to 2,682.54, 3,701.70 and 1,487.41

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Solution

The fourth proportional to 2,682.54, 3,701.70 and 1,487.41 is: 2,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.54 : 3,701.70 = 1,487.41 : x
  2. Step 2: Convert to fraction form
    2,682.54/3,701.70 = 1,487.41/x
  3. Step 3: Cross multiply
    2,682.54x = 3,701.70 × 1,487.41
  4. Step 4: Simplify right side
    2,682.54x = 5,505,936.34
  5. Step 5: Solve for x
    x = 5,505,936.34/2,682.54
  6. Step 6: Final answer
    x = 2,052.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.