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Finding the Fourth Proportional to 2,756.58, 3,796.38 and 2,286.51

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Solution

The fourth proportional to 2,756.58, 3,796.38 and 2,286.51 is: 3,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.58 : 3,796.38 = 2,286.51 : x
  2. Step 2: Convert to fraction form
    2,756.58/3,796.38 = 2,286.51/x
  3. Step 3: Cross multiply
    2,756.58x = 3,796.38 × 2,286.51
  4. Step 4: Simplify right side
    2,756.58x = 8,680,460.83
  5. Step 5: Solve for x
    x = 8,680,460.83/2,756.58
  6. Step 6: Final answer
    x = 3,149.00

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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.