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Finding the Fourth Proportional to 1,780.92, 2,469.06 and 1,682.64

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Solution

The fourth proportional to 1,780.92, 2,469.06 and 1,682.64 is: 2,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.92 : 2,469.06 = 1,682.64 : x
  2. Step 2: Convert to fraction form
    1,780.92/2,469.06 = 1,682.64/x
  3. Step 3: Cross multiply
    1,780.92x = 2,469.06 × 1,682.64
  4. Step 4: Simplify right side
    1,780.92x = 4,154,539.12
  5. Step 5: Solve for x
    x = 4,154,539.12/1,780.92
  6. Step 6: Final answer
    x = 2,332.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.