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Finding the Fourth Proportional to 2,211.61, 3,317.59 and 568.15

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Solution

The fourth proportional to 2,211.61, 3,317.59 and 568.15 is: 852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.61 : 3,317.59 = 568.15 : x
  2. Step 2: Convert to fraction form
    2,211.61/3,317.59 = 568.15/x
  3. Step 3: Cross multiply
    2,211.61x = 3,317.59 × 568.15
  4. Step 4: Simplify right side
    2,211.61x = 1,884,872.17
  5. Step 5: Solve for x
    x = 1,884,872.17/2,211.61
  6. Step 6: Final answer
    x = 852.26

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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.