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Finding the Fourth Proportional to 2,780.66, 3,816.88 and 2,458.88

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Solution

The fourth proportional to 2,780.66, 3,816.88 and 2,458.88 is: 3,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.66 : 3,816.88 = 2,458.88 : x
  2. Step 2: Convert to fraction form
    2,780.66/3,816.88 = 2,458.88/x
  3. Step 3: Cross multiply
    2,780.66x = 3,816.88 × 2,458.88
  4. Step 4: Simplify right side
    2,780.66x = 9,385,249.89
  5. Step 5: Solve for x
    x = 9,385,249.89/2,780.66
  6. Step 6: Final answer
    x = 3,375.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.