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Finding the Fourth Proportional to 1,899.62, 2,610.88 and 1,677.24

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Solution

The fourth proportional to 1,899.62, 2,610.88 and 1,677.24 is: 2,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.62 : 2,610.88 = 1,677.24 : x
  2. Step 2: Convert to fraction form
    1,899.62/2,610.88 = 1,677.24/x
  3. Step 3: Cross multiply
    1,899.62x = 2,610.88 × 1,677.24
  4. Step 4: Simplify right side
    1,899.62x = 4,379,072.37
  5. Step 5: Solve for x
    x = 4,379,072.37/1,899.62
  6. Step 6: Final answer
    x = 2,305.24

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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.