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Finding the Fourth Proportional to 1,755.54, 2,637.36 and 1,448.55

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Solution

The fourth proportional to 1,755.54, 2,637.36 and 1,448.55 is: 2,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.54 : 2,637.36 = 1,448.55 : x
  2. Step 2: Convert to fraction form
    1,755.54/2,637.36 = 1,448.55/x
  3. Step 3: Cross multiply
    1,755.54x = 2,637.36 × 1,448.55
  4. Step 4: Simplify right side
    1,755.54x = 3,820,347.83
  5. Step 5: Solve for x
    x = 3,820,347.83/1,755.54
  6. Step 6: Final answer
    x = 2,176.17

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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.