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Finding the Fourth Proportional to 2,480.72, 3,720.66 and 701.91

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Solution

The fourth proportional to 2,480.72, 3,720.66 and 701.91 is: 1,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.72 : 3,720.66 = 701.91 : x
  2. Step 2: Convert to fraction form
    2,480.72/3,720.66 = 701.91/x
  3. Step 3: Cross multiply
    2,480.72x = 3,720.66 × 701.91
  4. Step 4: Simplify right side
    2,480.72x = 2,611,551.88
  5. Step 5: Solve for x
    x = 2,611,551.88/2,480.72
  6. Step 6: Final answer
    x = 1,052.74

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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.