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Finding the Fourth Proportional to 1,980.35, 2,732.91 and 1,234.61

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Solution

The fourth proportional to 1,980.35, 2,732.91 and 1,234.61 is: 1,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.35 : 2,732.91 = 1,234.61 : x
  2. Step 2: Convert to fraction form
    1,980.35/2,732.91 = 1,234.61/x
  3. Step 3: Cross multiply
    1,980.35x = 2,732.91 × 1,234.61
  4. Step 4: Simplify right side
    1,980.35x = 3,374,078.02
  5. Step 5: Solve for x
    x = 3,374,078.02/1,980.35
  6. Step 6: Final answer
    x = 1,703.78

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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.