Home / 2,780.24-3,833.82-2,406.08

Finding the Fourth Proportional to 2,780.24, 3,833.82 and 2,406.08

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Solution

The fourth proportional to 2,780.24, 3,833.82 and 2,406.08 is: 3,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.24 : 3,833.82 = 2,406.08 : x
  2. Step 2: Convert to fraction form
    2,780.24/3,833.82 = 2,406.08/x
  3. Step 3: Cross multiply
    2,780.24x = 3,833.82 × 2,406.08
  4. Step 4: Simplify right side
    2,780.24x = 9,224,477.63
  5. Step 5: Solve for x
    x = 9,224,477.63/2,780.24
  6. Step 6: Final answer
    x = 3,317.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.