Home / 2,825.24-3,898.62-1,583

Finding the Fourth Proportional to 2,825.24, 3,898.62 and 1,583

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Solution

The fourth proportional to 2,825.24, 3,898.62 and 1,583 is: 2,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.24 : 3,898.62 = 1,583 : x
  2. Step 2: Convert to fraction form
    2,825.24/3,898.62 = 1,583/x
  3. Step 3: Cross multiply
    2,825.24x = 3,898.62 × 1,583
  4. Step 4: Simplify right side
    2,825.24x = 6,171,515.46
  5. Step 5: Solve for x
    x = 6,171,515.46/2,825.24
  6. Step 6: Final answer
    x = 2,184.42

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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.