Home / 2,740.36-3,782.94-1,747

Finding the Fourth Proportional to 2,740.36, 3,782.94 and 1,747

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Solution

The fourth proportional to 2,740.36, 3,782.94 and 1,747 is: 2,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.36 : 3,782.94 = 1,747 : x
  2. Step 2: Convert to fraction form
    2,740.36/3,782.94 = 1,747/x
  3. Step 3: Cross multiply
    2,740.36x = 3,782.94 × 1,747
  4. Step 4: Simplify right side
    2,740.36x = 6,608,796.18
  5. Step 5: Solve for x
    x = 6,608,796.18/2,740.36
  6. Step 6: Final answer
    x = 2,411.65

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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.