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Finding the Fourth Proportional to 1,645.30, 2,468.73 and 823.69

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Solution

The fourth proportional to 1,645.30, 2,468.73 and 823.69 is: 1,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.30 : 2,468.73 = 823.69 : x
  2. Step 2: Convert to fraction form
    1,645.30/2,468.73 = 823.69/x
  3. Step 3: Cross multiply
    1,645.30x = 2,468.73 × 823.69
  4. Step 4: Simplify right side
    1,645.30x = 2,033,468.21
  5. Step 5: Solve for x
    x = 2,033,468.21/1,645.30
  6. Step 6: Final answer
    x = 1,235.93

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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.