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Finding the Fourth Proportional to 4,949.45, 7,425.24 and 1,661.66

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Solution

The fourth proportional to 4,949.45, 7,425.24 and 1,661.66 is: 2,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.45 : 7,425.24 = 1,661.66 : x
  2. Step 2: Convert to fraction form
    4,949.45/7,425.24 = 1,661.66/x
  3. Step 3: Cross multiply
    4,949.45x = 7,425.24 × 1,661.66
  4. Step 4: Simplify right side
    4,949.45x = 12,338,264.57
  5. Step 5: Solve for x
    x = 12,338,264.57/4,949.45
  6. Step 6: Final answer
    x = 2,492.85

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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.