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Finding the Fourth Proportional to 1,837.89, 2,524.23 and 1,702.62

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Solution

The fourth proportional to 1,837.89, 2,524.23 and 1,702.62 is: 2,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.89 : 2,524.23 = 1,702.62 : x
  2. Step 2: Convert to fraction form
    1,837.89/2,524.23 = 1,702.62/x
  3. Step 3: Cross multiply
    1,837.89x = 2,524.23 × 1,702.62
  4. Step 4: Simplify right side
    1,837.89x = 4,297,804.48
  5. Step 5: Solve for x
    x = 4,297,804.48/1,837.89
  6. Step 6: Final answer
    x = 2,338.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.