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Finding the Fourth Proportional to 2,211.85, 3,317.90 and 568.41

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Solution

The fourth proportional to 2,211.85, 3,317.90 and 568.41 is: 852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.85 : 3,317.90 = 568.41 : x
  2. Step 2: Convert to fraction form
    2,211.85/3,317.90 = 568.41/x
  3. Step 3: Cross multiply
    2,211.85x = 3,317.90 × 568.41
  4. Step 4: Simplify right side
    2,211.85x = 1,885,924.70
  5. Step 5: Solve for x
    x = 1,885,924.70/2,211.85
  6. Step 6: Final answer
    x = 852.65

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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.