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Finding the Fourth Proportional to 2,735.82, 4,103.80 and 980.95

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Solution

The fourth proportional to 2,735.82, 4,103.80 and 980.95 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.82 : 4,103.80 = 980.95 : x
  2. Step 2: Convert to fraction form
    2,735.82/4,103.80 = 980.95/x
  3. Step 3: Cross multiply
    2,735.82x = 4,103.80 × 980.95
  4. Step 4: Simplify right side
    2,735.82x = 4,025,622.61
  5. Step 5: Solve for x
    x = 4,025,622.61/2,735.82
  6. Step 6: Final answer
    x = 1,471.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.