Home / 2,780.42-3,816.53-2,458.63

Finding the Fourth Proportional to 2,780.42, 3,816.53 and 2,458.63

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Solution

The fourth proportional to 2,780.42, 3,816.53 and 2,458.63 is: 3,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.42 : 3,816.53 = 2,458.63 : x
  2. Step 2: Convert to fraction form
    2,780.42/3,816.53 = 2,458.63/x
  3. Step 3: Cross multiply
    2,780.42x = 3,816.53 × 2,458.63
  4. Step 4: Simplify right side
    2,780.42x = 9,383,431.76
  5. Step 5: Solve for x
    x = 9,383,431.76/2,780.42
  6. Step 6: Final answer
    x = 3,374.83

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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.