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Finding the Fourth Proportional to 2,736.96, 3,775.44 and 1,740.24

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Solution

The fourth proportional to 2,736.96, 3,775.44 and 1,740.24 is: 2,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.96 : 3,775.44 = 1,740.24 : x
  2. Step 2: Convert to fraction form
    2,736.96/3,775.44 = 1,740.24/x
  3. Step 3: Cross multiply
    2,736.96x = 3,775.44 × 1,740.24
  4. Step 4: Simplify right side
    2,736.96x = 6,570,171.71
  5. Step 5: Solve for x
    x = 6,570,171.71/2,736.96
  6. Step 6: Final answer
    x = 2,400.54

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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.