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Finding the Fourth Proportional to 2,104.40, 2,902.98 and 1,635.38

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Solution

The fourth proportional to 2,104.40, 2,902.98 and 1,635.38 is: 2,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.40 : 2,902.98 = 1,635.38 : x
  2. Step 2: Convert to fraction form
    2,104.40/2,902.98 = 1,635.38/x
  3. Step 3: Cross multiply
    2,104.40x = 2,902.98 × 1,635.38
  4. Step 4: Simplify right side
    2,104.40x = 4,747,475.43
  5. Step 5: Solve for x
    x = 4,747,475.43/2,104.40
  6. Step 6: Final answer
    x = 2,255.98

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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.