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Finding the Fourth Proportional to 2,675.43, 4,011.53 and 826.00

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Solution

The fourth proportional to 2,675.43, 4,011.53 and 826.00 is: 1,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.43 : 4,011.53 = 826.00 : x
  2. Step 2: Convert to fraction form
    2,675.43/4,011.53 = 826.00/x
  3. Step 3: Cross multiply
    2,675.43x = 4,011.53 × 826.00
  4. Step 4: Simplify right side
    2,675.43x = 3,313,509.62
  5. Step 5: Solve for x
    x = 3,313,509.62/2,675.43
  6. Step 6: Final answer
    x = 1,238.50

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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.