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Finding the Fourth Proportional to 2,637.50, 3,640.39 and 1,643.93

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Solution

The fourth proportional to 2,637.50, 3,640.39 and 1,643.93 is: 2,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.50 : 3,640.39 = 1,643.93 : x
  2. Step 2: Convert to fraction form
    2,637.50/3,640.39 = 1,643.93/x
  3. Step 3: Cross multiply
    2,637.50x = 3,640.39 × 1,643.93
  4. Step 4: Simplify right side
    2,637.50x = 5,984,546.33
  5. Step 5: Solve for x
    x = 5,984,546.33/2,637.50
  6. Step 6: Final answer
    x = 2,269.02

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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.