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Finding the Fourth Proportional to 2,517.75, 3,776.76 and 786.51

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Solution

The fourth proportional to 2,517.75, 3,776.76 and 786.51 is: 1,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.75 : 3,776.76 = 786.51 : x
  2. Step 2: Convert to fraction form
    2,517.75/3,776.76 = 786.51/x
  3. Step 3: Cross multiply
    2,517.75x = 3,776.76 × 786.51
  4. Step 4: Simplify right side
    2,517.75x = 2,970,459.51
  5. Step 5: Solve for x
    x = 2,970,459.51/2,517.75
  6. Step 6: Final answer
    x = 1,179.81

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1.5x scale

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.