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Finding the Fourth Proportional to 2,627.50, 3,623.46 and 1,729.66

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Solution

The fourth proportional to 2,627.50, 3,623.46 and 1,729.66 is: 2,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.50 : 3,623.46 = 1,729.66 : x
  2. Step 2: Convert to fraction form
    2,627.50/3,623.46 = 1,729.66/x
  3. Step 3: Cross multiply
    2,627.50x = 3,623.46 × 1,729.66
  4. Step 4: Simplify right side
    2,627.50x = 6,267,353.82
  5. Step 5: Solve for x
    x = 6,267,353.82/2,627.50
  6. Step 6: Final answer
    x = 2,385.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.