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Finding the Fourth Proportional to 2,097.90, 2,892.24 and 1,537.38

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Solution

The fourth proportional to 2,097.90, 2,892.24 and 1,537.38 is: 2,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.90 : 2,892.24 = 1,537.38 : x
  2. Step 2: Convert to fraction form
    2,097.90/2,892.24 = 1,537.38/x
  3. Step 3: Cross multiply
    2,097.90x = 2,892.24 × 1,537.38
  4. Step 4: Simplify right side
    2,097.90x = 4,446,471.93
  5. Step 5: Solve for x
    x = 4,446,471.93/2,097.90
  6. Step 6: Final answer
    x = 2,119.49

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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.