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Finding the Fourth Proportional to 2,758.97, 3,803.65 and 1,873.24

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Solution

The fourth proportional to 2,758.97, 3,803.65 and 1,873.24 is: 2,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.97 : 3,803.65 = 1,873.24 : x
  2. Step 2: Convert to fraction form
    2,758.97/3,803.65 = 1,873.24/x
  3. Step 3: Cross multiply
    2,758.97x = 3,803.65 × 1,873.24
  4. Step 4: Simplify right side
    2,758.97x = 7,125,149.33
  5. Step 5: Solve for x
    x = 7,125,149.33/2,758.97
  6. Step 6: Final answer
    x = 2,582.54

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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.