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Finding the Fourth Proportional to 2,133.09, 3,199.86 and 573.09

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Solution

The fourth proportional to 2,133.09, 3,199.86 and 573.09 is: 859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.09 : 3,199.86 = 573.09 : x
  2. Step 2: Convert to fraction form
    2,133.09/3,199.86 = 573.09/x
  3. Step 3: Cross multiply
    2,133.09x = 3,199.86 × 573.09
  4. Step 4: Simplify right side
    2,133.09x = 1,833,807.77
  5. Step 5: Solve for x
    x = 1,833,807.77/2,133.09
  6. Step 6: Final answer
    x = 859.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.