Home / 2,822.96-3,895.29-1,563.70

Finding the Fourth Proportional to 2,822.96, 3,895.29 and 1,563.70

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Solution

The fourth proportional to 2,822.96, 3,895.29 and 1,563.70 is: 2,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.96 : 3,895.29 = 1,563.70 : x
  2. Step 2: Convert to fraction form
    2,822.96/3,895.29 = 1,563.70/x
  3. Step 3: Cross multiply
    2,822.96x = 3,895.29 × 1,563.70
  4. Step 4: Simplify right side
    2,822.96x = 6,091,047.42
  5. Step 5: Solve for x
    x = 6,091,047.42/2,822.96
  6. Step 6: Final answer
    x = 2,157.68

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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.