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Finding the Fourth Proportional to 2,213.48, 3,320.24 and 570.03

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Solution

The fourth proportional to 2,213.48, 3,320.24 and 570.03 is: 855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.48 : 3,320.24 = 570.03 : x
  2. Step 2: Convert to fraction form
    2,213.48/3,320.24 = 570.03/x
  3. Step 3: Cross multiply
    2,213.48x = 3,320.24 × 570.03
  4. Step 4: Simplify right side
    2,213.48x = 1,892,633.56
  5. Step 5: Solve for x
    x = 1,892,633.56/2,213.48
  6. Step 6: Final answer
    x = 855.05

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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.