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Finding the Fourth Proportional to 2,556.63, 3,525.80 and 1,659.43

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Solution

The fourth proportional to 2,556.63, 3,525.80 and 1,659.43 is: 2,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.63 : 3,525.80 = 1,659.43 : x
  2. Step 2: Convert to fraction form
    2,556.63/3,525.80 = 1,659.43/x
  3. Step 3: Cross multiply
    2,556.63x = 3,525.80 × 1,659.43
  4. Step 4: Simplify right side
    2,556.63x = 5,850,818.29
  5. Step 5: Solve for x
    x = 5,850,818.29/2,556.63
  6. Step 6: Final answer
    x = 2,288.49

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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.