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Finding the Fourth Proportional to 1,852.62, 2,559.51 and 1,755.42

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Solution

The fourth proportional to 1,852.62, 2,559.51 and 1,755.42 is: 2,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.62 : 2,559.51 = 1,755.42 : x
  2. Step 2: Convert to fraction form
    1,852.62/2,559.51 = 1,755.42/x
  3. Step 3: Cross multiply
    1,852.62x = 2,559.51 × 1,755.42
  4. Step 4: Simplify right side
    1,852.62x = 4,493,015.04
  5. Step 5: Solve for x
    x = 4,493,015.04/1,852.62
  6. Step 6: Final answer
    x = 2,425.22

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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.