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Finding the Fourth Proportional to 2,080.76, 3,133.26 and 1,536.75

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Solution

The fourth proportional to 2,080.76, 3,133.26 and 1,536.75 is: 2,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.76 : 3,133.26 = 1,536.75 : x
  2. Step 2: Convert to fraction form
    2,080.76/3,133.26 = 1,536.75/x
  3. Step 3: Cross multiply
    2,080.76x = 3,133.26 × 1,536.75
  4. Step 4: Simplify right side
    2,080.76x = 4,815,037.31
  5. Step 5: Solve for x
    x = 4,815,037.31/2,080.76
  6. Step 6: Final answer
    x = 2,314.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.