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Finding the Fourth Proportional to 2,609.60, 3,604.70 and 1,945.30

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Solution

The fourth proportional to 2,609.60, 3,604.70 and 1,945.30 is: 2,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.60 : 3,604.70 = 1,945.30 : x
  2. Step 2: Convert to fraction form
    2,609.60/3,604.70 = 1,945.30/x
  3. Step 3: Cross multiply
    2,609.60x = 3,604.70 × 1,945.30
  4. Step 4: Simplify right side
    2,609.60x = 7,012,222.91
  5. Step 5: Solve for x
    x = 7,012,222.91/2,609.60
  6. Step 6: Final answer
    x = 2,687.09

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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.