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Finding the Fourth Proportional to 2,735.95, 3,775.61 and 1,493.95

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Solution

The fourth proportional to 2,735.95, 3,775.61 and 1,493.95 is: 2,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.95 : 3,775.61 = 1,493.95 : x
  2. Step 2: Convert to fraction form
    2,735.95/3,775.61 = 1,493.95/x
  3. Step 3: Cross multiply
    2,735.95x = 3,775.61 × 1,493.95
  4. Step 4: Simplify right side
    2,735.95x = 5,640,572.56
  5. Step 5: Solve for x
    x = 5,640,572.56/2,735.95
  6. Step 6: Final answer
    x = 2,061.65

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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.