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Finding the Fourth Proportional to 1,917.54, 2,644.04 and 1,637.28

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Solution

The fourth proportional to 1,917.54, 2,644.04 and 1,637.28 is: 2,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.54 : 2,644.04 = 1,637.28 : x
  2. Step 2: Convert to fraction form
    1,917.54/2,644.04 = 1,637.28/x
  3. Step 3: Cross multiply
    1,917.54x = 2,644.04 × 1,637.28
  4. Step 4: Simplify right side
    1,917.54x = 4,329,037.90
  5. Step 5: Solve for x
    x = 4,329,037.90/1,917.54
  6. Step 6: Final answer
    x = 2,257.60

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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.