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Finding the Fourth Proportional to 2,614.85, 3,608.49 and 1,435.93

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Solution

The fourth proportional to 2,614.85, 3,608.49 and 1,435.93 is: 1,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.85 : 3,608.49 = 1,435.93 : x
  2. Step 2: Convert to fraction form
    2,614.85/3,608.49 = 1,435.93/x
  3. Step 3: Cross multiply
    2,614.85x = 3,608.49 × 1,435.93
  4. Step 4: Simplify right side
    2,614.85x = 5,181,539.05
  5. Step 5: Solve for x
    x = 5,181,539.05/2,614.85
  6. Step 6: Final answer
    x = 1,981.58

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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.