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Finding the Fourth Proportional to 2,735.40, 3,774.74 and 1,493.40

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Solution

The fourth proportional to 2,735.40, 3,774.74 and 1,493.40 is: 2,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.40 : 3,774.74 = 1,493.40 : x
  2. Step 2: Convert to fraction form
    2,735.40/3,774.74 = 1,493.40/x
  3. Step 3: Cross multiply
    2,735.40x = 3,774.74 × 1,493.40
  4. Step 4: Simplify right side
    2,735.40x = 5,637,189.25
  5. Step 5: Solve for x
    x = 5,637,189.25/2,735.40
  6. Step 6: Final answer
    x = 2,060.83

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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.