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Finding the Fourth Proportional to 2,133.69, 3,200.82 and 573.74

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Solution

The fourth proportional to 2,133.69, 3,200.82 and 573.74 is: 860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.69 : 3,200.82 = 573.74 : x
  2. Step 2: Convert to fraction form
    2,133.69/3,200.82 = 573.74/x
  3. Step 3: Cross multiply
    2,133.69x = 3,200.82 × 573.74
  4. Step 4: Simplify right side
    2,133.69x = 1,836,422.46
  5. Step 5: Solve for x
    x = 1,836,422.46/2,133.69
  6. Step 6: Final answer
    x = 860.68

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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.