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Finding the Fourth Proportional to 2,133.19, 3,200.07 and 573.24

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Solution

The fourth proportional to 2,133.19, 3,200.07 and 573.24 is: 859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.19 : 3,200.07 = 573.24 : x
  2. Step 2: Convert to fraction form
    2,133.19/3,200.07 = 573.24/x
  3. Step 3: Cross multiply
    2,133.19x = 3,200.07 × 573.24
  4. Step 4: Simplify right side
    2,133.19x = 1,834,408.13
  5. Step 5: Solve for x
    x = 1,834,408.13/2,133.19
  6. Step 6: Final answer
    x = 859.94

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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.