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Finding the Fourth Proportional to 2,316.95, 3,198.86 and 1,608.57

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Solution

The fourth proportional to 2,316.95, 3,198.86 and 1,608.57 is: 2,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.95 : 3,198.86 = 1,608.57 : x
  2. Step 2: Convert to fraction form
    2,316.95/3,198.86 = 1,608.57/x
  3. Step 3: Cross multiply
    2,316.95x = 3,198.86 × 1,608.57
  4. Step 4: Simplify right side
    2,316.95x = 5,145,582.19
  5. Step 5: Solve for x
    x = 5,145,582.19/2,316.95
  6. Step 6: Final answer
    x = 2,220.85

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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.