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Finding the Fourth Proportional to 2,028.08, 3,037.72 and 985.89

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Solution

The fourth proportional to 2,028.08, 3,037.72 and 985.89 is: 1,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.08 : 3,037.72 = 985.89 : x
  2. Step 2: Convert to fraction form
    2,028.08/3,037.72 = 985.89/x
  3. Step 3: Cross multiply
    2,028.08x = 3,037.72 × 985.89
  4. Step 4: Simplify right side
    2,028.08x = 2,994,855.31
  5. Step 5: Solve for x
    x = 2,994,855.31/2,028.08
  6. Step 6: Final answer
    x = 1,476.69

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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.