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Finding the Fourth Proportional to 1,809, 2,715.03 and 823.30

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Solution

The fourth proportional to 1,809, 2,715.03 and 823.30 is: 1,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809 : 2,715.03 = 823.30 : x
  2. Step 2: Convert to fraction form
    1,809/2,715.03 = 823.30/x
  3. Step 3: Cross multiply
    1,809x = 2,715.03 × 823.30
  4. Step 4: Simplify right side
    1,809x = 2,235,284.20
  5. Step 5: Solve for x
    x = 2,235,284.20/1,809
  6. Step 6: Final answer
    x = 1,235.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.