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Finding the Fourth Proportional to 2,644.29, 3,645.41 and 1,897.00

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Solution

The fourth proportional to 2,644.29, 3,645.41 and 1,897.00 is: 2,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.29 : 3,645.41 = 1,897.00 : x
  2. Step 2: Convert to fraction form
    2,644.29/3,645.41 = 1,897.00/x
  3. Step 3: Cross multiply
    2,644.29x = 3,645.41 × 1,897.00
  4. Step 4: Simplify right side
    2,644.29x = 6,915,324.17
  5. Step 5: Solve for x
    x = 6,915,324.17/2,644.29
  6. Step 6: Final answer
    x = 2,615.19

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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.