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Finding the Fourth Proportional to 1,641.06, 2,462.06 and 546.14

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Solution

The fourth proportional to 1,641.06, 2,462.06 and 546.14 is: 819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.06 : 2,462.06 = 546.14 : x
  2. Step 2: Convert to fraction form
    1,641.06/2,462.06 = 546.14/x
  3. Step 3: Cross multiply
    1,641.06x = 2,462.06 × 546.14
  4. Step 4: Simplify right side
    1,641.06x = 1,344,636.97
  5. Step 5: Solve for x
    x = 1,344,636.97/1,641.06
  6. Step 6: Final answer
    x = 819.37

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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.