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Finding the Fourth Proportional to 1,637.70, 2,258.40 and 1,192.44

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Solution

The fourth proportional to 1,637.70, 2,258.40 and 1,192.44 is: 1,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.70 : 2,258.40 = 1,192.44 : x
  2. Step 2: Convert to fraction form
    1,637.70/2,258.40 = 1,192.44/x
  3. Step 3: Cross multiply
    1,637.70x = 2,258.40 × 1,192.44
  4. Step 4: Simplify right side
    1,637.70x = 2,693,006.50
  5. Step 5: Solve for x
    x = 2,693,006.50/1,637.70
  6. Step 6: Final answer
    x = 1,644.38

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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.