Home / 2,822.84-3,895.56-1,563.92

Finding the Fourth Proportional to 2,822.84, 3,895.56 and 1,563.92

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Solution

The fourth proportional to 2,822.84, 3,895.56 and 1,563.92 is: 2,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.84 : 3,895.56 = 1,563.92 : x
  2. Step 2: Convert to fraction form
    2,822.84/3,895.56 = 1,563.92/x
  3. Step 3: Cross multiply
    2,822.84x = 3,895.56 × 1,563.92
  4. Step 4: Simplify right side
    2,822.84x = 6,092,344.20
  5. Step 5: Solve for x
    x = 6,092,344.20/2,822.84
  6. Step 6: Final answer
    x = 2,158.23

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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.