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Finding the Fourth Proportional to 2,085.78, 3,128.67 and 989.55

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Solution

The fourth proportional to 2,085.78, 3,128.67 and 989.55 is: 1,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.78 : 3,128.67 = 989.55 : x
  2. Step 2: Convert to fraction form
    2,085.78/3,128.67 = 989.55/x
  3. Step 3: Cross multiply
    2,085.78x = 3,128.67 × 989.55
  4. Step 4: Simplify right side
    2,085.78x = 3,095,975.40
  5. Step 5: Solve for x
    x = 3,095,975.40/2,085.78
  6. Step 6: Final answer
    x = 1,484.33

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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.