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Finding the Fourth Proportional to 2,171.98, 2,998.47 and 1,375.57

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Solution

The fourth proportional to 2,171.98, 2,998.47 and 1,375.57 is: 1,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.98 : 2,998.47 = 1,375.57 : x
  2. Step 2: Convert to fraction form
    2,171.98/2,998.47 = 1,375.57/x
  3. Step 3: Cross multiply
    2,171.98x = 2,998.47 × 1,375.57
  4. Step 4: Simplify right side
    2,171.98x = 4,124,605.38
  5. Step 5: Solve for x
    x = 4,124,605.38/2,171.98
  6. Step 6: Final answer
    x = 1,899.01

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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.