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Finding the Fourth Proportional to 2,637.88, 3,640.22 and 1,458.88

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Solution

The fourth proportional to 2,637.88, 3,640.22 and 1,458.88 is: 2,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.88 : 3,640.22 = 1,458.88 : x
  2. Step 2: Convert to fraction form
    2,637.88/3,640.22 = 1,458.88/x
  3. Step 3: Cross multiply
    2,637.88x = 3,640.22 × 1,458.88
  4. Step 4: Simplify right side
    2,637.88x = 5,310,644.15
  5. Step 5: Solve for x
    x = 5,310,644.15/2,637.88
  6. Step 6: Final answer
    x = 2,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.