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Finding the Fourth Proportional to 2,659.49, 3,669.94 and 1,540.35

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Solution

The fourth proportional to 2,659.49, 3,669.94 and 1,540.35 is: 2,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.49 : 3,669.94 = 1,540.35 : x
  2. Step 2: Convert to fraction form
    2,659.49/3,669.94 = 1,540.35/x
  3. Step 3: Cross multiply
    2,659.49x = 3,669.94 × 1,540.35
  4. Step 4: Simplify right side
    2,659.49x = 5,652,992.08
  5. Step 5: Solve for x
    x = 5,652,992.08/2,659.49
  6. Step 6: Final answer
    x = 2,125.59

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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.