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Finding the Fourth Proportional to 2,300.40, 3,449.77 and 1,067.58

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Solution

The fourth proportional to 2,300.40, 3,449.77 and 1,067.58 is: 1,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.40 : 3,449.77 = 1,067.58 : x
  2. Step 2: Convert to fraction form
    2,300.40/3,449.77 = 1,067.58/x
  3. Step 3: Cross multiply
    2,300.40x = 3,449.77 × 1,067.58
  4. Step 4: Simplify right side
    2,300.40x = 3,682,905.46
  5. Step 5: Solve for x
    x = 3,682,905.46/2,300.40
  6. Step 6: Final answer
    x = 1,600.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.