Home / 2,782.24-3,833.34-1,849.12

Finding the Fourth Proportional to 2,782.24, 3,833.34 and 1,849.12

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Solution

The fourth proportional to 2,782.24, 3,833.34 and 1,849.12 is: 2,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.24 : 3,833.34 = 1,849.12 : x
  2. Step 2: Convert to fraction form
    2,782.24/3,833.34 = 1,849.12/x
  3. Step 3: Cross multiply
    2,782.24x = 3,833.34 × 1,849.12
  4. Step 4: Simplify right side
    2,782.24x = 7,088,305.66
  5. Step 5: Solve for x
    x = 7,088,305.66/2,782.24
  6. Step 6: Final answer
    x = 2,547.70

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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.