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Finding the Fourth Proportional to 2,777.20, 3,824.74 and 2,716.72

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Solution

The fourth proportional to 2,777.20, 3,824.74 and 2,716.72 is: 3,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.20 : 3,824.74 = 2,716.72 : x
  2. Step 2: Convert to fraction form
    2,777.20/3,824.74 = 2,716.72/x
  3. Step 3: Cross multiply
    2,777.20x = 3,824.74 × 2,716.72
  4. Step 4: Simplify right side
    2,777.20x = 10,390,747.65
  5. Step 5: Solve for x
    x = 10,390,747.65/2,777.20
  6. Step 6: Final answer
    x = 3,741.45

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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.