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Finding the Fourth Proportional to 2,897.04, 3,998.28 and 1,638.15

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Solution

The fourth proportional to 2,897.04, 3,998.28 and 1,638.15 is: 2,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.04 : 3,998.28 = 1,638.15 : x
  2. Step 2: Convert to fraction form
    2,897.04/3,998.28 = 1,638.15/x
  3. Step 3: Cross multiply
    2,897.04x = 3,998.28 × 1,638.15
  4. Step 4: Simplify right side
    2,897.04x = 6,549,782.38
  5. Step 5: Solve for x
    x = 6,549,782.38/2,897.04
  6. Step 6: Final answer
    x = 2,260.85

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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.