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Finding the Fourth Proportional to 2,637.75, 3,640.10 and 1,458.83

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Solution

The fourth proportional to 2,637.75, 3,640.10 and 1,458.83 is: 2,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.75 : 3,640.10 = 1,458.83 : x
  2. Step 2: Convert to fraction form
    2,637.75/3,640.10 = 1,458.83/x
  3. Step 3: Cross multiply
    2,637.75x = 3,640.10 × 1,458.83
  4. Step 4: Simplify right side
    2,637.75x = 5,310,287.08
  5. Step 5: Solve for x
    x = 5,310,287.08/2,637.75
  6. Step 6: Final answer
    x = 2,013.19

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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.