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Finding the Fourth Proportional to 2,758.83, 4,134.20 and 2,175.23

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Solution

The fourth proportional to 2,758.83, 4,134.20 and 2,175.23 is: 3,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.83 : 4,134.20 = 2,175.23 : x
  2. Step 2: Convert to fraction form
    2,758.83/4,134.20 = 2,175.23/x
  3. Step 3: Cross multiply
    2,758.83x = 4,134.20 × 2,175.23
  4. Step 4: Simplify right side
    2,758.83x = 8,992,804.32
  5. Step 5: Solve for x
    x = 8,992,804.32/2,758.83
  6. Step 6: Final answer
    x = 3,259.64

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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.