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Finding the Fourth Proportional to 2,614.82, 3,608.54 and 1,435.98

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Solution

The fourth proportional to 2,614.82, 3,608.54 and 1,435.98 is: 1,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.82 : 3,608.54 = 1,435.98 : x
  2. Step 2: Convert to fraction form
    2,614.82/3,608.54 = 1,435.98/x
  3. Step 3: Cross multiply
    2,614.82x = 3,608.54 × 1,435.98
  4. Step 4: Simplify right side
    2,614.82x = 5,181,773.23
  5. Step 5: Solve for x
    x = 5,181,773.23/2,614.82
  6. Step 6: Final answer
    x = 1,981.70

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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.