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Finding the Fourth Proportional to 2,609.60, 3,601.82 and 1,725.49

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Solution

The fourth proportional to 2,609.60, 3,601.82 and 1,725.49 is: 2,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.60 : 3,601.82 = 1,725.49 : x
  2. Step 2: Convert to fraction form
    2,609.60/3,601.82 = 1,725.49/x
  3. Step 3: Cross multiply
    2,609.60x = 3,601.82 × 1,725.49
  4. Step 4: Simplify right side
    2,609.60x = 6,214,904.39
  5. Step 5: Solve for x
    x = 6,214,904.39/2,609.60
  6. Step 6: Final answer
    x = 2,381.55

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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.