Home / 1,519.20-2,276.79-826.02

Finding the Fourth Proportional to 1,519.20, 2,276.79 and 826.02

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Solution

The fourth proportional to 1,519.20, 2,276.79 and 826.02 is: 1,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.20 : 2,276.79 = 826.02 : x
  2. Step 2: Convert to fraction form
    1,519.20/2,276.79 = 826.02/x
  3. Step 3: Cross multiply
    1,519.20x = 2,276.79 × 826.02
  4. Step 4: Simplify right side
    1,519.20x = 1,880,674.08
  5. Step 5: Solve for x
    x = 1,880,674.08/1,519.20
  6. Step 6: Final answer
    x = 1,237.94

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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.