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Finding the Fourth Proportional to 2,614.77, 3,608.39 and 1,435.90

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Solution

The fourth proportional to 2,614.77, 3,608.39 and 1,435.90 is: 1,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.77 : 3,608.39 = 1,435.90 : x
  2. Step 2: Convert to fraction form
    2,614.77/3,608.39 = 1,435.90/x
  3. Step 3: Cross multiply
    2,614.77x = 3,608.39 × 1,435.90
  4. Step 4: Simplify right side
    2,614.77x = 5,181,287.20
  5. Step 5: Solve for x
    x = 5,181,287.20/2,614.77
  6. Step 6: Final answer
    x = 1,981.55

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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.