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Finding the Fourth Proportional to 2,542.96, 3,510.36 and 1,659.52

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Solution

The fourth proportional to 2,542.96, 3,510.36 and 1,659.52 is: 2,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.96 : 3,510.36 = 1,659.52 : x
  2. Step 2: Convert to fraction form
    2,542.96/3,510.36 = 1,659.52/x
  3. Step 3: Cross multiply
    2,542.96x = 3,510.36 × 1,659.52
  4. Step 4: Simplify right side
    2,542.96x = 5,825,512.63
  5. Step 5: Solve for x
    x = 5,825,512.63/2,542.96
  6. Step 6: Final answer
    x = 2,290.84

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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.