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Finding the Fourth Proportional to 1,637.95, 2,456 and 1,443.39

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Solution

The fourth proportional to 1,637.95, 2,456 and 1,443.39 is: 2,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.95 : 2,456 = 1,443.39 : x
  2. Step 2: Convert to fraction form
    1,637.95/2,456 = 1,443.39/x
  3. Step 3: Cross multiply
    1,637.95x = 2,456 × 1,443.39
  4. Step 4: Simplify right side
    1,637.95x = 3,544,965.84
  5. Step 5: Solve for x
    x = 3,544,965.84/1,637.95
  6. Step 6: Final answer
    x = 2,164.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.