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Finding the Fourth Proportional to 2,659.16, 3,669.84 and 1,540.40

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Solution

The fourth proportional to 2,659.16, 3,669.84 and 1,540.40 is: 2,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.16 : 3,669.84 = 1,540.40 : x
  2. Step 2: Convert to fraction form
    2,659.16/3,669.84 = 1,540.40/x
  3. Step 3: Cross multiply
    2,659.16x = 3,669.84 × 1,540.40
  4. Step 4: Simplify right side
    2,659.16x = 5,653,021.54
  5. Step 5: Solve for x
    x = 5,653,021.54/2,659.16
  6. Step 6: Final answer
    x = 2,125.87

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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.