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Finding the Fourth Proportional to 2,133.99, 3,200.95 and 573.94

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Solution

The fourth proportional to 2,133.99, 3,200.95 and 573.94 is: 860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.99 : 3,200.95 = 573.94 : x
  2. Step 2: Convert to fraction form
    2,133.99/3,200.95 = 573.94/x
  3. Step 3: Cross multiply
    2,133.99x = 3,200.95 × 573.94
  4. Step 4: Simplify right side
    2,133.99x = 1,837,153.24
  5. Step 5: Solve for x
    x = 1,837,153.24/2,133.99
  6. Step 6: Final answer
    x = 860.90

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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.