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Finding the Fourth Proportional to 2,543.85, 3,509.49 and 1,659.33

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Solution

The fourth proportional to 2,543.85, 3,509.49 and 1,659.33 is: 2,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.85 : 3,509.49 = 1,659.33 : x
  2. Step 2: Convert to fraction form
    2,543.85/3,509.49 = 1,659.33/x
  3. Step 3: Cross multiply
    2,543.85x = 3,509.49 × 1,659.33
  4. Step 4: Simplify right side
    2,543.85x = 5,823,402.04
  5. Step 5: Solve for x
    x = 5,823,402.04/2,543.85
  6. Step 6: Final answer
    x = 2,289.21

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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.