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Finding the Fourth Proportional to 1,659.59, 2,469.79 and 1,604.23

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Solution

The fourth proportional to 1,659.59, 2,469.79 and 1,604.23 is: 2,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.59 : 2,469.79 = 1,604.23 : x
  2. Step 2: Convert to fraction form
    1,659.59/2,469.79 = 1,604.23/x
  3. Step 3: Cross multiply
    1,659.59x = 2,469.79 × 1,604.23
  4. Step 4: Simplify right side
    1,659.59x = 3,962,111.21
  5. Step 5: Solve for x
    x = 3,962,111.21/1,659.59
  6. Step 6: Final answer
    x = 2,387.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.