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Finding the Fourth Proportional to 2,365.58, 3,265.08 and 1,660.88

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Solution

The fourth proportional to 2,365.58, 3,265.08 and 1,660.88 is: 2,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.58 : 3,265.08 = 1,660.88 : x
  2. Step 2: Convert to fraction form
    2,365.58/3,265.08 = 1,660.88/x
  3. Step 3: Cross multiply
    2,365.58x = 3,265.08 × 1,660.88
  4. Step 4: Simplify right side
    2,365.58x = 5,422,906.07
  5. Step 5: Solve for x
    x = 5,422,906.07/2,365.58
  6. Step 6: Final answer
    x = 2,292.42

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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.