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Finding the Fourth Proportional to 2,085.80, 3,126.32 and 988.61

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Solution

The fourth proportional to 2,085.80, 3,126.32 and 988.61 is: 1,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.80 : 3,126.32 = 988.61 : x
  2. Step 2: Convert to fraction form
    2,085.80/3,126.32 = 988.61/x
  3. Step 3: Cross multiply
    2,085.80x = 3,126.32 × 988.61
  4. Step 4: Simplify right side
    2,085.80x = 3,090,706.27
  5. Step 5: Solve for x
    x = 3,090,706.27/2,085.80
  6. Step 6: Final answer
    x = 1,481.78

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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.