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Finding the Fourth Proportional to 2,485.52, 3,709.08 and 2,209.46

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Solution

The fourth proportional to 2,485.52, 3,709.08 and 2,209.46 is: 3,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.52 : 3,709.08 = 2,209.46 : x
  2. Step 2: Convert to fraction form
    2,485.52/3,709.08 = 2,209.46/x
  3. Step 3: Cross multiply
    2,485.52x = 3,709.08 × 2,209.46
  4. Step 4: Simplify right side
    2,485.52x = 8,195,063.90
  5. Step 5: Solve for x
    x = 8,195,063.90/2,485.52
  6. Step 6: Final answer
    x = 3,297.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.