Home / 2,821.84-3,898.12-2,040

Finding the Fourth Proportional to 2,821.84, 3,898.12 and 2,040

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Solution

The fourth proportional to 2,821.84, 3,898.12 and 2,040 is: 2,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.84 : 3,898.12 = 2,040 : x
  2. Step 2: Convert to fraction form
    2,821.84/3,898.12 = 2,040/x
  3. Step 3: Cross multiply
    2,821.84x = 3,898.12 × 2,040
  4. Step 4: Simplify right side
    2,821.84x = 7,952,164.80
  5. Step 5: Solve for x
    x = 7,952,164.80/2,821.84
  6. Step 6: Final answer
    x = 2,818.08

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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.