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Finding the Fourth Proportional to 2,608.47, 3,601.53 and 1,614.06

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Solution

The fourth proportional to 2,608.47, 3,601.53 and 1,614.06 is: 2,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.47 : 3,601.53 = 1,614.06 : x
  2. Step 2: Convert to fraction form
    2,608.47/3,601.53 = 1,614.06/x
  3. Step 3: Cross multiply
    2,608.47x = 3,601.53 × 1,614.06
  4. Step 4: Simplify right side
    2,608.47x = 5,813,085.51
  5. Step 5: Solve for x
    x = 5,813,085.51/2,608.47
  6. Step 6: Final answer
    x = 2,228.54

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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.