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Finding the Fourth Proportional to 2,213.00, 3,319.71 and 569.57

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Solution

The fourth proportional to 2,213.00, 3,319.71 and 569.57 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.00 : 3,319.71 = 569.57 : x
  2. Step 2: Convert to fraction form
    2,213.00/3,319.71 = 569.57/x
  3. Step 3: Cross multiply
    2,213.00x = 3,319.71 × 569.57
  4. Step 4: Simplify right side
    2,213.00x = 1,890,790.09
  5. Step 5: Solve for x
    x = 1,890,790.09/2,213.00
  6. Step 6: Final answer
    x = 854.40

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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.