Home / 1,423.24-2,134.79-546.17

Finding the Fourth Proportional to 1,423.24, 2,134.79 and 546.17

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Solution

The fourth proportional to 1,423.24, 2,134.79 and 546.17 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.24 : 2,134.79 = 546.17 : x
  2. Step 2: Convert to fraction form
    1,423.24/2,134.79 = 546.17/x
  3. Step 3: Cross multiply
    1,423.24x = 2,134.79 × 546.17
  4. Step 4: Simplify right side
    1,423.24x = 1,165,946.21
  5. Step 5: Solve for x
    x = 1,165,946.21/1,423.24
  6. Step 6: Final answer
    x = 819.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.