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Finding the Fourth Proportional to 2,637.64, 3,640.04 and 1,458.82

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Solution

The fourth proportional to 2,637.64, 3,640.04 and 1,458.82 is: 2,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.64 : 3,640.04 = 1,458.82 : x
  2. Step 2: Convert to fraction form
    2,637.64/3,640.04 = 1,458.82/x
  3. Step 3: Cross multiply
    2,637.64x = 3,640.04 × 1,458.82
  4. Step 4: Simplify right side
    2,637.64x = 5,310,163.15
  5. Step 5: Solve for x
    x = 5,310,163.15/2,637.64
  6. Step 6: Final answer
    x = 2,013.23

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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.