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Finding the Fourth Proportional to 2,694.26, 3,715.01 and 1,897.33

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Solution

The fourth proportional to 2,694.26, 3,715.01 and 1,897.33 is: 2,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.26 : 3,715.01 = 1,897.33 : x
  2. Step 2: Convert to fraction form
    2,694.26/3,715.01 = 1,897.33/x
  3. Step 3: Cross multiply
    2,694.26x = 3,715.01 × 1,897.33
  4. Step 4: Simplify right side
    2,694.26x = 7,048,595.38
  5. Step 5: Solve for x
    x = 7,048,595.38/2,694.26
  6. Step 6: Final answer
    x = 2,616.16

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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.