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Finding the Fourth Proportional to 2,614.95, 3,608.49 and 1,496.03

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Solution

The fourth proportional to 2,614.95, 3,608.49 and 1,496.03 is: 2,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.95 : 3,608.49 = 1,496.03 : x
  2. Step 2: Convert to fraction form
    2,614.95/3,608.49 = 1,496.03/x
  3. Step 3: Cross multiply
    2,614.95x = 3,608.49 × 1,496.03
  4. Step 4: Simplify right side
    2,614.95x = 5,398,409.29
  5. Step 5: Solve for x
    x = 5,398,409.29/2,614.95
  6. Step 6: Final answer
    x = 2,064.44

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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.