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Finding the Fourth Proportional to 2,735, 3,774.32 and 1,493

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Solution

The fourth proportional to 2,735, 3,774.32 and 1,493 is: 2,060.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735 : 3,774.32 = 1,493 : x
  2. Step 2: Convert to fraction form
    2,735/3,774.32 = 1,493/x
  3. Step 3: Cross multiply
    2,735x = 3,774.32 × 1,493
  4. Step 4: Simplify right side
    2,735x = 5,635,059.76
  5. Step 5: Solve for x
    x = 5,635,059.76/2,735
  6. Step 6: Final answer
    x = 2,060.35

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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.