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Finding the Fourth Proportional to 2,720.28, 4,080.49 and 772.50

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Solution

The fourth proportional to 2,720.28, 4,080.49 and 772.50 is: 1,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.28 : 4,080.49 = 772.50 : x
  2. Step 2: Convert to fraction form
    2,720.28/4,080.49 = 772.50/x
  3. Step 3: Cross multiply
    2,720.28x = 4,080.49 × 772.50
  4. Step 4: Simplify right side
    2,720.28x = 3,152,174.66
  5. Step 5: Solve for x
    x = 3,152,174.66/2,720.28
  6. Step 6: Final answer
    x = 1,158.77

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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.