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Finding the Fourth Proportional to 3,211.17, 4,821.17 and 1,652.46

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Solution

The fourth proportional to 3,211.17, 4,821.17 and 1,652.46 is: 2,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.17 : 4,821.17 = 1,652.46 : x
  2. Step 2: Convert to fraction form
    3,211.17/4,821.17 = 1,652.46/x
  3. Step 3: Cross multiply
    3,211.17x = 4,821.17 × 1,652.46
  4. Step 4: Simplify right side
    3,211.17x = 7,966,782.32
  5. Step 5: Solve for x
    x = 7,966,782.32/3,211.17
  6. Step 6: Final answer
    x = 2,480.96

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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.