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Finding the Fourth Proportional to 2,604.40, 3,594.46 and 1,660.60

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Solution

The fourth proportional to 2,604.40, 3,594.46 and 1,660.60 is: 2,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.40 : 3,594.46 = 1,660.60 : x
  2. Step 2: Convert to fraction form
    2,604.40/3,594.46 = 1,660.60/x
  3. Step 3: Cross multiply
    2,604.40x = 3,594.46 × 1,660.60
  4. Step 4: Simplify right side
    2,604.40x = 5,968,960.28
  5. Step 5: Solve for x
    x = 5,968,960.28/2,604.40
  6. Step 6: Final answer
    x = 2,291.88

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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.