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Finding the Fourth Proportional to 2,213.37, 3,320.07 and 569.91

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Solution

The fourth proportional to 2,213.37, 3,320.07 and 569.91 is: 854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.37 : 3,320.07 = 569.91 : x
  2. Step 2: Convert to fraction form
    2,213.37/3,320.07 = 569.91/x
  3. Step 3: Cross multiply
    2,213.37x = 3,320.07 × 569.91
  4. Step 4: Simplify right side
    2,213.37x = 1,892,141.09
  5. Step 5: Solve for x
    x = 1,892,141.09/2,213.37
  6. Step 6: Final answer
    x = 854.87

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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.