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Finding the Fourth Proportional to 2,211.50, 3,317.00 and 568.08

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Solution

The fourth proportional to 2,211.50, 3,317.00 and 568.08 is: 852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.50 : 3,317.00 = 568.08 : x
  2. Step 2: Convert to fraction form
    2,211.50/3,317.00 = 568.08/x
  3. Step 3: Cross multiply
    2,211.50x = 3,317.00 × 568.08
  4. Step 4: Simplify right side
    2,211.50x = 1,884,318.52
  5. Step 5: Solve for x
    x = 1,884,318.52/2,211.50
  6. Step 6: Final answer
    x = 852.06

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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.