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Finding the Fourth Proportional to 2,857.58, 3,943.69 and 1,599.04

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Solution

The fourth proportional to 2,857.58, 3,943.69 and 1,599.04 is: 2,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.58 : 3,943.69 = 1,599.04 : x
  2. Step 2: Convert to fraction form
    2,857.58/3,943.69 = 1,599.04/x
  3. Step 3: Cross multiply
    2,857.58x = 3,943.69 × 1,599.04
  4. Step 4: Simplify right side
    2,857.58x = 6,306,118.99
  5. Step 5: Solve for x
    x = 6,306,118.99/2,857.58
  6. Step 6: Final answer
    x = 2,206.80

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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.