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Finding the Fourth Proportional to 3,005.28, 4,509 and 1,849.68

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Solution

The fourth proportional to 3,005.28, 4,509 and 1,849.68 is: 2,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.28 : 4,509 = 1,849.68 : x
  2. Step 2: Convert to fraction form
    3,005.28/4,509 = 1,849.68/x
  3. Step 3: Cross multiply
    3,005.28x = 4,509 × 1,849.68
  4. Step 4: Simplify right side
    3,005.28x = 8,340,207.12
  5. Step 5: Solve for x
    x = 8,340,207.12/3,005.28
  6. Step 6: Final answer
    x = 2,775.18

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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.