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Finding the Fourth Proportional to 2,614.89, 3,608.53 and 1,435.94

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Solution

The fourth proportional to 2,614.89, 3,608.53 and 1,435.94 is: 1,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.89 : 3,608.53 = 1,435.94 : x
  2. Step 2: Convert to fraction form
    2,614.89/3,608.53 = 1,435.94/x
  3. Step 3: Cross multiply
    2,614.89x = 3,608.53 × 1,435.94
  4. Step 4: Simplify right side
    2,614.89x = 5,181,632.57
  5. Step 5: Solve for x
    x = 5,181,632.57/2,614.89
  6. Step 6: Final answer
    x = 1,981.59

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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.