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Finding the Fourth Proportional to 2,897.73, 3,998.97 and 1,638.92

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Solution

The fourth proportional to 2,897.73, 3,998.97 and 1,638.92 is: 2,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.73 : 3,998.97 = 1,638.92 : x
  2. Step 2: Convert to fraction form
    2,897.73/3,998.97 = 1,638.92/x
  3. Step 3: Cross multiply
    2,897.73x = 3,998.97 × 1,638.92
  4. Step 4: Simplify right side
    2,897.73x = 6,554,001.91
  5. Step 5: Solve for x
    x = 6,554,001.91/2,897.73
  6. Step 6: Final answer
    x = 2,261.77

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1.5x scale

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.