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Finding the Fourth Proportional to 2,213.57, 3,320.35 and 569.98

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Solution

The fourth proportional to 2,213.57, 3,320.35 and 569.98 is: 854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.57 : 3,320.35 = 569.98 : x
  2. Step 2: Convert to fraction form
    2,213.57/3,320.35 = 569.98/x
  3. Step 3: Cross multiply
    2,213.57x = 3,320.35 × 569.98
  4. Step 4: Simplify right side
    2,213.57x = 1,892,523.37
  5. Step 5: Solve for x
    x = 1,892,523.37/2,213.57
  6. Step 6: Final answer
    x = 854.96

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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.