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Finding the Fourth Proportional to 2,323.96, 3,205.85 and 1,763.51

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Solution

The fourth proportional to 2,323.96, 3,205.85 and 1,763.51 is: 2,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.96 : 3,205.85 = 1,763.51 : x
  2. Step 2: Convert to fraction form
    2,323.96/3,205.85 = 1,763.51/x
  3. Step 3: Cross multiply
    2,323.96x = 3,205.85 × 1,763.51
  4. Step 4: Simplify right side
    2,323.96x = 5,653,523.69
  5. Step 5: Solve for x
    x = 5,653,523.69/2,323.96
  6. Step 6: Final answer
    x = 2,432.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.