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Finding the Fourth Proportional to 2,084.52, 3,128.31 and 988.88

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Solution

The fourth proportional to 2,084.52, 3,128.31 and 988.88 is: 1,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.52 : 3,128.31 = 988.88 : x
  2. Step 2: Convert to fraction form
    2,084.52/3,128.31 = 988.88/x
  3. Step 3: Cross multiply
    2,084.52x = 3,128.31 × 988.88
  4. Step 4: Simplify right side
    2,084.52x = 3,093,523.19
  5. Step 5: Solve for x
    x = 3,093,523.19/2,084.52
  6. Step 6: Final answer
    x = 1,484.05

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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.