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Finding the Fourth Proportional to 2,882.10, 4,324.90 and 1,033.08

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Solution

The fourth proportional to 2,882.10, 4,324.90 and 1,033.08 is: 1,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.10 : 4,324.90 = 1,033.08 : x
  2. Step 2: Convert to fraction form
    2,882.10/4,324.90 = 1,033.08/x
  3. Step 3: Cross multiply
    2,882.10x = 4,324.90 × 1,033.08
  4. Step 4: Simplify right side
    2,882.10x = 4,467,967.69
  5. Step 5: Solve for x
    x = 4,467,967.69/2,882.10
  6. Step 6: Final answer
    x = 1,550.25

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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.