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Finding the Fourth Proportional to 2,316.96, 3,474.99 and 1,084.95

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Solution

The fourth proportional to 2,316.96, 3,474.99 and 1,084.95 is: 1,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.96 : 3,474.99 = 1,084.95 : x
  2. Step 2: Convert to fraction form
    2,316.96/3,474.99 = 1,084.95/x
  3. Step 3: Cross multiply
    2,316.96x = 3,474.99 × 1,084.95
  4. Step 4: Simplify right side
    2,316.96x = 3,770,190.40
  5. Step 5: Solve for x
    x = 3,770,190.40/2,316.96
  6. Step 6: Final answer
    x = 1,627.21

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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.